How does matrix multiplication work?

For C = A·B, cell C[i][j] = Σ A[i][k] × B[k][j]. The number of columns in A must equal the number of rows in B — both are square here so it always works.

What is the determinant formula?

For 2×2: det = ad − bc. For 3×3: expand along the first row using cofactors: a(ei−fh) − b(di−fg) + c(dh−eg).

Can I compute the transpose?

Yes — the transpose of A is shown alongside the result. The transpose swaps rows and columns.

Are negative and decimal values supported?

Yes — any JavaScript number works in each cell.

Is the calculation done locally?

Yes — entirely in your browser.

Matrix Calculator

Add, subtract, multiply and find determinants of 2×2 and 3×3 matrices.

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See how it works

Watch a quick simulation of this tool in action — no file needed.

How to use Matrix Calculator

Follow these steps — everything happens instantly in your browser.

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Step 1. Pick the matrix size (2×2 or 3×3) and the operation (add, subtract, multiply).
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Step 2. Fill in the cells of matrix A (and B for binary operations).
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Step 3. See the result matrix, determinant and transpose update instantly.