{"id":523,"date":"2026-10-04T10:17:55","date_gmt":"2026-10-04T09:17:55","guid":{"rendered":"https:\/\/wpcalc.com\/pl\/matematyka\/kwadrat-macierzy\/"},"modified":"2026-10-04T10:17:55","modified_gmt":"2026-10-04T09:17:55","slug":"kwadrat-macierzy","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/pl\/matematyka\/kwadrat-macierzy\/","title":{"rendered":"Kalkulator kwadratu macierzy"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Obliczanie kwadratu macierzy<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"523\" data-favorite-title=\"Kwadrat macierzy\" data-favorite-url=\"https:\/\/wpcalc.com\/pl\/matematyka\/kwadrat-macierzy\/\" data-favorite-excerpt=\"Ten kalkulator oblicza kwadrat macierzy 2\u00d72 lub 3\u00d73, czyli iloczyn A \u00d7 A. Wprowad\u017a elementy macierzy i natychmiast otrzymaj macierz podniesion\u0105 do kwadratu.\" aria-label=\"Dodaj do ulubionych\" data-favorite-icon=\"icon icon-algebra\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/pl\/matematyka\/kwadrat-macierzy\/\" method=\"POST\" class=\"calculator\" id=\"calculator-523\" data-post=\"523\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Pola danych<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">Wybierz rozmiar macierzy<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"wybierz_rozmiar_macierzy\"><option value=\"1\">2\u00d72<\/option><option value=\"2\">3\u00d73<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">a\u2081\u2081<\/label><div class=\"term\">a11<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"a\" id=\"field-2\" step=\"any\" value=\"2\"\/><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">a\u2081\u2082<\/label><div class=\"term\">a12<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"a\" id=\"field-3\" step=\"any\" value=\"1\"\/><\/div><div class=\"field has-term\" id=\"input-4\" hidden><label for=\"field-4\">a\u2081\u2083<\/label><div class=\"term\">a13<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"a\" id=\"field-4\" step=\"any\" value=\"3\"\/><\/div><div class=\"field has-term\" id=\"input-5\"><label for=\"field-5\">a\u2082\u2081<\/label><div class=\"term\">a21<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"a\" id=\"field-5\" step=\"any\" value=\"1\"\/><\/div><div class=\"field has-term\" id=\"input-6\"><label for=\"field-6\">a\u2082\u2082<\/label><div class=\"term\">a22<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"a\" id=\"field-6\" step=\"any\" value=\"4\"\/><\/div><div class=\"field has-term\" id=\"input-7\" hidden><label for=\"field-7\">a\u2082\u2083<\/label><div class=\"term\">a23<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"a\" id=\"field-7\" step=\"any\" value=\"2\"\/><\/div><div class=\"field has-term\" id=\"input-8\" hidden><label for=\"field-8\">a\u2083\u2081<\/label><div class=\"term\">a31<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"a\" id=\"field-8\" step=\"any\" value=\"1\"\/><\/div><div class=\"field has-term\" id=\"input-9\" hidden><label for=\"field-9\">a\u2083\u2082<\/label><div class=\"term\">a32<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"a\" id=\"field-9\" step=\"any\" value=\"1\"\/><\/div><div class=\"field has-term\" id=\"input-10\" hidden><label for=\"field-10\">a\u2083\u2083<\/label><div class=\"term\">a33<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"a\" id=\"field-10\" step=\"any\" value=\"3\"\/><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Przelicz ponownie\" id=\"calculate-button\" data-post=\"523\">Oblicz<\/button><button type=\"reset\">Wyczy\u015b\u0107<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Obliczaj automatycznie<\/label><small>Po w\u0142\u0105czeniu wynik aktualizuje si\u0119 automatycznie po zmianie dowolnej warto\u015bci.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Twoje wyniki<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Macierz do kwadratu<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Kopiuj wynik\" aria-label=\"Kopiuj wynik\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Kopiuj link do tego obliczenia<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Zostaw komentarz<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"523\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Jak oceniasz ten wynik?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Lubi\u0119 to <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Pomocne <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Niejasne <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Rozczarowanie <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Niedok\u0142adne <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Wz\u00f3r na kwadrat macierzy<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Wz\u00f3r<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ C = A^2 = A \\times A, \\qquad C_{ij} = \\sum_{k=1}^{n} A_{ik} A_{kj} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Gdzie:<\/strong><\/p>\n<ul>\n<li>\\(A\\) \u2014 macierz kwadratowa (2\u00d72 lub 3\u00d73) o elementach \\(A_{ij}\\)<\/li>\n<li>\\(C = A^2\\) \u2014 kwadrat macierzy, otrzymany przez pomno\u017cenie \\(A\\) przez sam\u0105 siebie<\/li>\n<li>\\(C_{ij}\\) \u2014 element w wierszu \\(i\\) i kolumnie \\(j\\) wyniku<\/li>\n<li>\\(n\\) \u2014 rozmiar macierzy (2 lub 3)<\/li>\n<\/ul>\n<p>Ka\u017cdy element wyniku to iloczyn skalarny wiersza macierzy \\(A\\) z kolumn\u0105 macierzy \\(A\\), dok\u0142adnie tak jak przy zwyk\u0142ym mno\u017ceniu macierzy \u2014 z t\u0105 r\u00f3\u017cnic\u0105, \u017ce oba czynniki to ta sama macierz.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Kwadrat macierzy \u2013 przyk\u0142ad oblicze\u0144<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Przyk\u0142ad:<\/strong> podnie\u015b do kwadratu macierz 2\u00d72<\/p>\n<p>\\[ A = \\begin{bmatrix} 2 &amp; 1 \\\\ 1 &amp; 4 \\end{bmatrix} \\]<\/p>\n<p>\\[ A^2 = A \\times A = \\begin{bmatrix} 2\\cdot 2 + 1\\cdot 1 &amp; 2\\cdot 1 + 1\\cdot 4 \\\\ 1\\cdot 2 + 4\\cdot 1 &amp; 1\\cdot 1 + 4\\cdot 4 \\end{bmatrix} = \\begin{bmatrix} 5 &amp; 6 \\\\ 6 &amp; 17 \\end{bmatrix} \\]<\/p>\n<p><strong>Wynik:<\/strong> \\( A^2 = \\begin{bmatrix} 5 &amp; 6 \\\\ 6 &amp; 17 \\end{bmatrix} \\)<\/p>\n<p>\n\r\n<\/section>\n<h2>Jak korzysta\u0107 z kalkulatora<\/h2>\n<ol>\n<li>Wybierz rozmiar macierzy w polu <strong>Wybierz rozmiar macierzy<\/strong>: <strong>2\u00d72<\/strong> lub <strong>3\u00d73<\/strong>. Wyb\u00f3r 3\u00d73 ods\u0142ania dodatkowe pola do wprowadzania danych.\n<\/li>\n<p>Wprowad\u017a elementy macierzy w polach <strong>a\u2081\u2081<\/strong>, <strong>a\u2081\u2082<\/strong>, \u2026 zgodnie z wierszem i kolumn\u0105 ka\u017cdego elementu. Dla macierzy 2\u00d72 wype\u0142niasz a\u2081\u2081, a\u2081\u2082, a\u2082\u2081, a\u2082\u2082; dla macierzy 3\u00d73 wszystkie dziewi\u0119\u0107 p\u00f3l.<\/p>\n<li>Kwadrat macierzy pojawi si\u0119 natychmiast w panelu wynik\u00f3w <strong>Kwadrat macierzy<\/strong>.<\/li>\n<\/ol>\n<h2>Co oznacza podniesienie macierzy do kwadratu?<\/h2>\n<p>Podniesienie macierzy do kwadratu oznacza pomno\u017cenie jej przez sam\u0105 siebie: \\(A^2 = A \\times A\\). To <em>nie<\/em> to samo co podniesienie ka\u017cdego elementu osobno do kwadratu \u2014 to by\u0142oby pot\u0119gowanie elementowo (Hadamarda) i daje zupe\u0142nie inny wynik. Kwadrat macierzy powstaje wed\u0142ug standardowej regu\u0142y mno\u017cenia wiersz przez kolumn\u0119, wi\u0119c ka\u017cdy element \\(A^2\\) \u0142\u0105czy warto\u015bci z r\u00f3\u017cnych wierszy i kolumn macierzy \\(A\\).<\/p>\n<p>Podnosi\u0107 do kwadratu mo\u017cna tylko <strong>macierze kwadratowe<\/strong> (o tej samej liczbie wierszy i kolumn). Macierz prostok\u0105tna, na przyk\u0142ad 2\u00d73, nie mo\u017ce by\u0107 pomno\u017cona przez sam\u0105 siebie, poniewa\u017c liczba kolumn lewego czynnika musi by\u0107 r\u00f3wna liczbie wierszy prawego czynnika.<\/p>\n<p>Pot\u0119gowanie pojawia si\u0119 w wielu zastosowaniach: oznacza dwukrotne zastosowanie tego samego przekszta\u0142cenia liniowego (przydatne w grafice komputerowej, \u0142a\u0144cuchach Markowa i teorii graf\u00f3w, gdzie \\(A^2\\) liczy \u015bcie\u017cki d\u0142ugo\u015bci 2 mi\u0119dzy wierzcho\u0142kami), wyst\u0119puje w wielomianach macierzowych i rekurencjach takich jak \\(x_{k+1} = A x_k\\), oraz jest elementem sk\u0142adowym przy obliczaniu wy\u017cszych pot\u0119g macierzy \\(A^m\\) metod\u0105 szybkiego pot\u0119gowania.<\/p>\n<p>Przydatny spos\u00f3b sprawdzenia wyniku: \\(\\det(A^2) = \\det(A)^2\\). Dla powy\u017cszego przyk\u0142adu \\(\\det(A) = 2\\cdot4 - 1\\cdot1 = 7\\) oraz \\(\\det(A^2) = 5\\cdot17 - 6\\cdot6 = 49 = 7^2\\). Je\u015bli chcesz to zweryfikowa\u0107 lub obliczy\u0107, pomo\u017ce Ci nasz kalkulator <a href=\"https:\/\/wpcalc.com\/pl\/matematyka\/mnozenie-wyznacznikow\/\">Mno\u017cenie wyznacznik\u00f3w<\/a>.<\/p>\n<h2>Za\u0142o\u017cenia, ograniczenia i wskaz\u00f3wki<\/h2>\n<ul>\n<li><strong>Tylko macierze kwadratowe.<\/strong> Kalkulator obs\u0142uguje macierze 2\u00d72 i 3\u00d73. Nie mo\u017ce podnosi\u0107 do kwadratu macierzy prostok\u0105tnych.<\/li>\n<li><strong>To nie jest operacja elementowa.<\/strong> Pami\u0119taj, \u017ce og\u00f3lnie \\((A^2)_{ij} \\neq (A_{ij})^2\\). Je\u015bli potrzebujesz podnie\u015b\u0107 ka\u017cdy element osobno do kwadratu, to inne dzia\u0142anie.<\/li>\n<li><strong>Kolejno\u015b\u0107 tu nie ma znaczenia.<\/strong> Przy mno\u017ceniu macierzy przez sam\u0105 siebie \\(A \\times A\\) jest jednoznaczne. Zwr\u00f3\u0107 jednak uwag\u0119, \u017ce og\u00f3lnie mno\u017cenie macierzy nie jest przemienne \u2014 \\(A \\times B \\neq B \\times A\\). Do iloczyn\u00f3w dw\u00f3ch r\u00f3\u017cnych macierzy u\u017cyj kalkulatora <a href=\"https:\/\/wpcalc.com\/pl\/matematyka\/mnozenie-macierzy\/\">Mno\u017cenie macierzy<\/a>.<\/li>\n<li><strong>Warto\u015bci ujemne i dziesi\u0119tne<\/strong> s\u0105 akceptowane; wyniki s\u0105 wy\u015bwietlane zaokr\u0105glone do dw\u00f3ch miejsc po przecinku.<\/li>\n<li><strong>Macierz jednostkowa i diagonalna \u2014 skr\u00f3ty.<\/strong> Je\u015bli \\(A\\) jest diagonalna, to \\(A^2\\) jest diagonalna z podniesionymi do kwadratu elementami diagonalnymi; je\u015bli \\(A = I\\), to \\(A^2 = I\\). To szybkie testy poprawno\u015bci wprowadzonych danych.<\/li>\n<li>Pot\u0119gowanie wi\u0105\u017ce si\u0119 z warto\u015bciami w\u0142asnymi: ka\u017cda warto\u015b\u0107 w\u0142asna \\(\\lambda\\) macierzy \\(A\\) staje si\u0119 \\(\\lambda^2\\) w macierzy \\(A^2\\). Mo\u017cesz to zbada\u0107 za pomoc\u0105 kalkulator\u00f3w <a href=\"https:\/\/wpcalc.com\/pl\/matematyka\/wartosci-wlasne-wektory-wlasne-2x2\/\">Warto\u015bci w\u0142asne i wektory w\u0142asne 2\u00d72<\/a> oraz <a href=\"https:\/\/wpcalc.com\/pl\/matematyka\/wartosci-wlasne-i-wektory-wlasne-3x3\/\">Warto\u015bci w\u0142asne i wektory w\u0142asne 3\u00d73<\/a>.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Ten kalkulator oblicza kwadrat macierzy 2\u00d72 lub 3\u00d73, czyli iloczyn A \u00d7 A. Wprowad\u017a elementy macierzy i natychmiast otrzymaj macierz podniesion\u0105 do kwadratu.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[6],"tags":[51],"class_list":["post-523","post","type-post","status-publish","format-standard","hentry","category-matematyka","tag-macierze"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts\/523","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/comments?post=523"}],"version-history":[{"count":2,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts\/523\/revisions"}],"predecessor-version":[{"id":1708,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts\/523\/revisions\/1708"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/media?parent=523"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/categories?post=523"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/tags?post=523"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}