## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

$\left[\begin{array}{ccc} {14}&{7}&{-2}\\ {20}&{12}&{-4}\\ {-14}&{7}&{-6}\end{array}\right]$
Since, matrix $A$ and $B$ are both $2 \times 3$ matrices and have the same dimensions and $C$ matrix $3 \times 2$ , we know that $CB$, is defined and is a 3 by 3 matrix. $CB=\left[\begin{array}{ll} 4 & 1\\ 6 & 2\\ -2 & 3 \end{array}\right]\left[\begin{array}{lll} 4 & 1 & 0\\ -2 & 3 & -2 \end{array}\right] \\=\left[\begin{array}{ccc} {(4)(4)+(1)(-2)}&{(4)(1)+(1)(3)}&{(4)(0)+(1)(-2)}\\ {(6)(4)+(2)(-2)}&{(6)(1)+(2)(3)}&{(6)(0)+(2)(-2)}\\ {(-2)(4)+(3)(-2)}&{(-2)(1)+(3)(3)}&{(-2)(0)+(3)(-2)}\end{array}\right] \\=\left[\begin{array}{ccc} {14}&{7}&{-2}\\ {20}&{12}&{-4}\\ {-14}&{7}&{-6}\end{array}\right]$