Question:
If \(A=\begin{bmatrix} a & b\\[0.3em] c & -a \\[0.3em] \end{bmatrix}\)is a matrix such that \(A^2=I\), where \(I\) is an identity matrix, then which of the following is TRUE?
If \(A=\begin{bmatrix} a & b\\[0.3em] c & -a \\[0.3em] \end{bmatrix}\)is a matrix such that \(A^2=I\), where \(I\) is an identity matrix, then which of the following is TRUE?
Updated On: Jul 12, 2024
- \(1+a^2+bc=0\)
- \(1-a^2+bc=0\)
- \(1-a^2-bc=0\)
- \(1+a^2-bc=0\)
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The Correct Option is C
Solution and Explanation
The correct option is (C): \(1-a^2-bc=0\).
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