Matrix Multiplication Calculator

Your details

Number of rows then columns of Matrix A (rows x columns).
Number of rows then columns of Matrix B. Columns of A must equal rows of B.
Result matrix A x B
Row 1: [19, 22] | Row 2: [43, 50]

The product of Matrix A and Matrix B written row by row.

Result dimensions2 x 2
Trace of result69
Determinant of result4
C[1,1]19
C[1,2]22
C[2,1]43
C[2,2]50
C[1,1]19
C[1,2]22
C[2,1]43
C[2,2]50

Product computed: 2 x 2 result matrix.

  • A (2x2) multiplied by B (2x2) produces a 2x2 matrix.
  • The trace (sum of the diagonal) of the result is 69.
  • The determinant is 4, confirming the result matrix is invertible.
  • Note: matrix multiplication is generally not commutative - A x B and B x A can differ even for square matrices of the same size.

Next stepTo multiply three matrices, compute A x B first, then multiply the result by C.

 = Powered by OnlyCalculators