Matrix Multiplication

Matrix multiplication combines two matrices into a new matrix by computing dot products of rows and columns. Matrix multiplication is fundamental to linear algebra, computer graphics (transformations), machine learning (neural networks), and solving systems of equations

The calculator uses the standard published formula for matrix mult. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.

The core formula is: Each element C[i][j] = sum of A[i][k] × B[k][j] for k = 1 to n. Each step in the calculation is shown so you can verify the result manually.