Linear algebra · live

Matrix Calculator

Add, multiply, transpose and invert matrices and read the determinant, while a 2×2 matrix bends the coordinate grid so you can see the transform it performs.

A ×
B ×
Result
A as a transform of the plane (2×2)

Fill the cells (fractions like 1/2 and decimals work). Operations that need matching sizes will say so. det / inverse use exact cofactor / Gauss–Jordan. The picture shows where A sends the basis vectors î, ĵ and the unit square — its signed area is det A.