Question

Let C = I just need to find C squared So part c

Answer 1

`\begin{gathered} \begin{bmatrix}{-1} & {3} & {} \\ {0} & {2} & {} \\ {} & {} & {}\end{bmatrix}\cdot\begin{bmatrix}{-1} & {3} & {} \\ {0} & {2} & {} \\ {} & {} & {}\end{bmatrix}\text{ = }\begin{bmatrix}{1} & {3} & {} \\ {0} & {4} & {} \\ {} & {} & {}\end{bmatrix} \\ a_{(1,1)\text{ = (-1)(-1) + ( 3x0) = 1 +0 = 1 }} \\ a_{(1,2)\text{ = (-1) (3) + (3x 2 ) = -3 +6 = 3 }} \\ a_{(2,1)\text{ = (0 x -1) + (2x0) = 0+0 = 0}} \\ a_((2,2))\text{ = (0x3) + (2x2) = 0 +4 =4 } \\ \text{therefore C}^2\text{ = CxC = }\begin{bmatrix}{1} & {3} & {} \\ {0} & {4} & {} \\ {} & {} & {}\end{bmatrix} \end{gathered}`