A First Course in Linear Algebra · Problem MISLE.C21

Matrices — Robert Beezer

Mathematics — Linear Algebra · matrix-inverse-verification

Problem

Verify that

B

is the inverse of

A

A = \begin{bmatrix} 1 & 1 & -1 & 2 \\ -2 & -1 & 2 & -3 \\ 1 & 1 & 0 & 2 \\ -1 & 2 & 0 & 2 \end{bmatrix} \qquad B = \begin{bmatrix} 4 & 2 & 0 & -1 \\ 8 & 4 & -1 & -1 \\ -1 & 0 & 1 & 0 \\ -6 & -3 & 1 & 1 \end{bmatrix}