Matrices
RS Aggarwal
CBSE
Grade 12
Question:
If $A = \begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}$, then $A^2$ is equal to:
(a) $\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$
(b) $\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}$
(c) $\begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$
(d) $\begin{bmatrix} 1 & 1 \\ 1 & 1 \end{bmatrix}$
Step-by-Step Solution
Key Concept: A^2 = I.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: $\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$
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