### Home > PC3 > Chapter 11 > Lesson 11.2.5 > Problem11-151

11-151.

This problem is a checkpoint for operations with matrices.

Let $A = \left[ \begin{array} { r r } { - 4 } & { 8 } \\ { - 1 } & { - 12 } \end{array} \right]$, $B = \left[ \begin{array} { c c c } { - 9 } & { 0 } & { 10 } \\ { - 10 } & { 3 } & { - 8 } \end{array} \right]$, $C = \left[ \begin{array} { r r } { - 8 } & { 0 } \\ { 0 } & { - 5 } \\ { - 8 } & { - 11 } \end{array} \right]$, and $D = \left[ \begin{array} { c c c } { 2 } & { 1 } & { 6 } \\ { - 7 } & { - 8 } & { - 11 } \end{array} \right]$. Compute each of the following matrices or values, if possible.

1. $2B − D$

1. $BC$

1. $CB$

1. $\det(A)$

1. $A^{−1}$

1. $\det(C)$