Mathematics

Problem

Consider the matrix

B = \begin{pmatrix} 3 & 0 & 2\\ -1 & 4 & 1\\ 5 & -2 & -3 \end{pmatrix}.

(a) Compute

|B|

. (b) Find

\operatorname{adj}B

. (c) Using your results from parts (a) and (b), determine

B^{-1}