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Add, subtract and multiply matrices, and find the determinant, inverse, transpose, rank, trace, powers and RREF — exactly, with fractions — up to 8×8.
Also covers: Determinant calculator · Inverse matrix calculator · Matrix multiplication · RREF calculator
det(A)
5
All arithmetic is exact with fractions, so inverses and determinants have no rounding error. Matrices up to 8×8.
Up to 8×8; cells take integers, decimals or fractions.
For A + B, A − B and A × B, a second matrix B appears.
Fractions stay exact; switch to decimals if you prefer.
When its determinant is 0 — the matrix is called singular. Its rows (or columns) are linearly dependent.
A × B needs A's number of columns to equal B's number of rows. The result has A's rows and B's columns.
Reduced row echelon form: the result of Gauss–Jordan elimination. It shows the rank and the solutions of the matching system of equations.
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Raise any number to any power: exact results for whole-number powers (even huge ones like 2¹⁰⁰⁰), plus negative, fractional and decimal exponents.