Question:medium
If $A = \begin{pmatrix} 0 & 1 \\ -1 & 0 \end{pmatrix}$ and $(\alpha I + \beta A)^2 = A$, where $I$ is $2 \times 2$ unit matrix, then $\alpha^2 - \beta^2 =$:
If $A = \begin{pmatrix} 0 & 1 \\ -1 & 0 \end{pmatrix}$ and $(\alpha I + \beta A)^2 = A$, where $I$ is $2 \times 2$ unit matrix, then $\alpha^2 - \beta^2 =$:
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If $A^2 = -I$, treat it like $i^2 = -1$ for simplification.
Updated On: Apr 24, 2026
- $2$
- $-2$
- $-1$
- $1$
- $0$
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The Correct Option is
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