Question

I can’t find the correct matrix formulation to multiply against

Answer 1

SOLUTION

According to matrix transformation rule, rotation across 180 degrees counter-clockwise is given as

$x,y\rightarrow-x,-y$

Now, each of the elements of the matrix are points. Hence

$\begin{bmatrix}{0} & {-3} & {5} \\ {0} & {1} & {2} \\ {} & {} & {}\end{bmatrix}\rightarrow\begin{bmatrix}{-0} & {-(-3} & {-5} \\ {-0} & {-1} & {-2} \\ {} & {} & {}\end{bmatrix}\rightarrow\begin{bmatrix}{0} & {3} & {-5} \\ {0} & {-1} & {-2} \\ {} & {} & {}\end{bmatrix}$

Hence, the answer is

$\begin{bmatrix}{0} & {3} & {-5} \\ {0} & {-1} & {-2} \\ {} & {} & {}\end{bmatrix}$