Matrix Multiplication Calculator

Multiply two matrices step-by-step with this easy-to-use calculator. Just enter the dimensions for Matrix A and Matrix B, fill in the numbers, and get the resulting product matrix instantly. Great for students, teachers, and anyone working with linear algebra!

Matrix Multiplication Calculator

Rows (A): Cols (A): Rows (B): Cols (B):

Matrix A

Matrix B

Result Matrix

How to Use the Matrix Multiplication Calculator

Set Matrix Sizes
- Enter how many rows and columns you want for Matrix A and Matrix B.
- Reminder: For multiplication to work, columns of Matrix A must equal rows of Matrix B.
Click “Generate Matrices”
- This creates two input grids – Matrix A and Matrix B – based on the sizes you entered.
Fill in Matrix Values
- Type numbers into each box of both matrices.
Click “Multiply”
- The result (Matrix C) will appear below. This is your final product matrix.

What’s Actually Happening Behind the Scenes

When you multiply matrices, you’re doing this:

If Matrix A is m × n and Matrix B is n × p,
then their product Matrix C will be m × p.

Each element in the result matrix is calculated like this:

C[i][j] = A[i][0]×B[0][j] + A[i][1]×B[1][j] + ... + A[i][n−1]×B[n−1][j]

Example:

Say:

Matrix A is 2×3:

 [1 2 3]
 [4 5 6]

Matrix B is 3×2