Matrix Multiplication Calculator

Multiply two 2x2 matrices and get the product matrix. Uses the standard row by column multiplication rule.

Enter Values

A11

A12

A21

A22

B11

B12

B21

B22

Enter values above and click Calculate to see your result.

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(AB)_{ij} = sum_k A_{ik}B_{kj}

Each entry of the product is a dot product of a row from A with a column from B.

A = [[1, 2], [3, 4]], B = [[5, 6], [7, 8]]. The calculator returns AB as a 2x2 matrix.

No. In general, AB is not equal to BA.

Rows of the first matrix are multiplied by columns of the second matrix, so swapping changes the result.

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I can help you understand the matrix multiplication calculator formula, interpret your results, and answer follow-up questions.

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