Femtobytes
Problem type

Inverse of a matrix by row reduction

What it solves
Find the inverse of a 2 by 2 or 3 by 3 matrix by reducing the matrix beside the identity, with every row operation worked entry by entry, then prove the answer by multiplying back. If the matrix has no inverse, see exactly where and why the method stops.
Subject
Linear Algebra
Topic
Determinants and inverses
Also called
invert a matrix, matrix inverse, Gauss Jordan
Your problem

Find the inverse of this matrix, or show that it has none.

A=[211132100]A = \left[ \begin{array}{rrr} 2 & 1 & 1 \\ 1 & 3 & 2 \\ 1 & 0 & 0 \end{array} \right]
The square matrix
Size3
Whole numbers or fractions. 2 by 2 or 3 by 3.
Invent a new one: