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Sum of Determinants Calculator

This calculator helps you compute the sum of determinants of two matrices of the same size. It is useful for students, engineers, and scientists working with linear algebra where determinant operations are common.

Determinant Sum Solver

Input Fields
Matrix A
Matrix B
If enabled, the result will update automatically when you change any value.

Sum of Determinants Formula

Formula
$$ \det(C) = \det(A) + \det(B) $$

Where:

  • $$A$$ and $$B$$ are square matrices of the same dimension
  • $$\det(A)$$ is the determinant of matrix $$A$$
  • $$\det(B)$$ is the determinant of matrix $$B$$
  • $$\det(C)$$ represents the sum of their determinants

Sum of Determinants – Calculation Example

Input Fields
L1
$
Enter the amount of the first loan
r1
%
Enter the interest rate of the first loan
L2
$
Enter the amount of the second loan
r2
%
Enter the interest rate of the second loan
If enabled, the result will update automatically when you change any value.

The sum of determinants is not the same as the determinant of the sum of two matrices. This operation is mainly used in theoretical proofs, matrix algebra exercises, and specific applications in physics and engineering. Our calculator provides fast and accurate computation for square matrices.

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Subtraction of Two Matrices

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