Matrix calculator

Operations supported

• A + B and A − B — element-wise. A and B must have the same shape.
• A × B — matrix product. The number of columns in A must equal the number of rows in B; the result is rows(A) × cols(B).
• k · A — multiply every entry of A by a scalar.
• det A — determinant via cofactor expansion. A must be square.
• A⁻¹ — inverse via Gauss-Jordan elimination with partial pivoting. Returns an error if A is singular (a row that reduces to all zeros, or a near-zero pivot).
• Aᵀ — transpose. Rows become columns.

Numerical notes

Values are kept as JavaScript float-64 — fine for any 5×5 matrix with reasonable entries, but be aware that determinants and inverses can lose precision when the matrix is ill-conditioned (a near-zero determinant relative to the entry magnitudes). If you need symbolic exactness over rationals, use a CAS; this calculator is for quick numeric checks.

Sharing

The matrices, scalar and chosen operation are all encoded in the URL. Copy the link and the recipient lands on the exact same problem, ready to be edited.