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Matrix Calculator

Work with 2×2 matrices: add, subtract, or multiply A and B, or find the determinant, inverse, transpose, and scalar multiple — with full step-by-step working.

For A = [[a, b], [c, d]]: det(A) = ad − bc

Operation k =

Matrix A

A row 1 col 1 A row 1 col 2 A row 2 col 1 A row 2 col 2

Matrix B

B row 1 col 1 B row 1 col 2 B row 2 col 1 B row 2 col 2

Enter the four entries of each 2×2 matrix. Decimals and negatives are fine. Choose an operation above — Matrix B and the scalar k appear only when needed.

Results

Result

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det(A)

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det(B)

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trace(A) = a + d

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Results

Step-by-step