Question 1

Which operations are supported?

Accepted Answer

Addition, subtraction, scalar multiply, matrix multiply, determinant, inverse, transpose, and row-reduced echelon form (RREF).

Question 2

When is a matrix invertible?

Accepted Answer

A square matrix is invertible if its determinant is non-zero and the matrix is full rank.

Question 3

What sizes can I multiply?

Accepted Answer

If A is m x n and B is n x p, the product AB is m x p; inner dimensions must match.

Question 4

How is the inverse computed?

Accepted Answer

Typically via Gauss-Jordan elimination or LU decomposition; small 2x2 uses the closed form.

Question 5

Can I solve linear systems?

Accepted Answer

Yes—enter the augmented matrix and compute RREF or use A^-1 b when A is invertible.

Matrix Calculator — Linear Algebra & Matrix Operations