Q19Multiple correct3 Marks3 Sep 2023

Consider the following matrices. v_1 = $\begin{bmatrix} 2 & 2 \\ 0 & 2 \end{bmatrix}$ , v_2 = $\begin{bmatrix} -1 & 2 \\ 3 & 1 \end{bmatrix}$ , v_3 = $\begin{bmatrix} 2 & 0 \\ 0 & 2 \end{bmatrix}$ , and 1_{4} = $\begin{bmatrix} -5 & -3 \\ 6 & 5 \end{bmatrix}$ Choose the correct option(s) from the following:

A

v_1 and v_3 are similar matrices.

B

v_1 and v_3 are equivalent but not similar matrices.

C

1_{4} = P^-1 v_2 P where P = $\begin{bmatrix} 2 & 1 \\ -1 & 0 \end{bmatrix}$ .

D

v_2 and 1_{4} are equivalent but not similar matrices.