Let L be the linear transformation represented by the matrix (
0 1
-1 0
). Sho

Question

Let L be the linear transformation represented by the matrix (
    0     1 
     -1     0
). Sho

Accepted Answer

Step 1: u000ADefine the matrix of the linear transformation $L$ as $A u003D u005Cleft(u005Cbegin{array}{rr}0 u0026 1

Let $L$ be the linear transformation represented by the matrix $\left(\begin{array}{rr}0 & 1 \\ -1 & 0\end{array}\right)$. Show that $L^2=L \circ L$ is rotation by $180^{\circ}$. Is $L$ itself a rotation or a reflection?