‹ Back to the paper
Choose the correct option.
If A = (0 1; 1 0), then A² is equal to:
If $A = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}$, then $A^2$ is equal to:
- (a)$\begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}$
- (b)$\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}$
- (c)$\begin{pmatrix} 1 & 0 \\ 1 & 0 \end{pmatrix}$
- (d)$\begin{pmatrix} 0 & 0 \\ 1 & 1 \end{pmatrix}$
Answer
Answer
Correct option: (b)
Answer: (b) $\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}$
$A^2 = \begin{pmatrix} 0\cdot0+1\cdot1 & 0\cdot1+1\cdot0 \\ 1\cdot0+0\cdot1 & 1\cdot1+0\cdot0 \end{pmatrix} = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}$.