A First Course in Linear Algebra · Problem MISLE.C28

Matrices — Robert Beezer

Mathematics — Linear Algebra · matrix-inverse-computation

Problem

Let

C = \begin{bmatrix} 1 & 1 & 3 & 1 \\ -2 & -1 & -4 & -1 \\ 1 & 4 & 10 & 2 \\ -2 & 0 & -4 & 5 \end{bmatrix}

Compute the inverse of

C

C^{-1}

, by forming the

4 \times 8

matrix

[C \mid I_4]

and row-reducing (Theorem CINM). Then use a calculator to compute

C^{-1}

directly.