Online Matrix Calculator

Add, subtract, multiply, and transpose matrices instantly. Adjust dimensions freely — no login required.

Matrix A

3 3

Matrix B

3 3

Frequently Asked Questions

How do I multiply two matrices?

Select the A × B operation, enter values in Matrix A and Matrix B, then click Calculate. Matrix multiplication requires the column count of Matrix A to equal the row count of Matrix B.

What is matrix transposition?

Transposing a matrix flips it over its main diagonal — rows become columns and columns become rows. Click the ⊤ Transpose button on any matrix to apply it instantly.

What matrix sizes are supported?

MatrixLab supports any matrix from 1×1 up to 8×8. You can independently set rows and columns for both Matrix A and Matrix B using the + / − controls.

Do I need to create an account?

No. MatrixLab is completely free and requires no login or sign-up. Just open the page and start calculating.

Can I add or subtract matrices of different sizes?

No. Matrix addition and subtraction require both matrices to have the same number of rows and columns. MatrixLab will show an error if the dimensions don't match — simply adjust the size controls until both matrices are the same shape.

How does matrix multiplication work?

For A × B to be valid, the number of columns in Matrix A must equal the number of rows in Matrix B. The result will have the same number of rows as A and the same number of columns as B. For example, a 2×3 matrix multiplied by a 3×4 matrix produces a 2×4 result.

Can I use decimal or negative numbers?

Yes. Every cell accepts any real number — integers, decimals, and negative values. Results are rounded to 6 decimal places to keep the display clean.

How do I navigate the matrix grid with a keyboard?

Use the arrow keys or Tab to move between cells without reaching for the mouse. Press Enter or Arrow Down to move to the next row.

How to Use MatrixLab

  1. Choose an operation — select A + B, A − B, or A × B from the operation bar at the top.
  2. Set dimensions — use the + / − controls to resize each matrix independently, up to 8×8.
  3. Enter values — click any cell and type your number. Arrow keys and Tab navigate between cells. Blank cells are treated as 0.
  4. Click Calculate — the result matrix appears instantly below.
  5. Use the result — transpose it with ⊤ or copy it to clipboard with ⎘ Copy.