Question:medium
If \( A = \begin{pmatrix} 1 & 5 \\ 0 & 2 \end{pmatrix} \), then which of the following equations is satisfied by matrix \( A \)?
If \( A = \begin{pmatrix} 1 & 5 \\ 0 & 2 \end{pmatrix} \), then which of the following equations is satisfied by matrix \( A \)?
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For a \( 2 \times 2 \) matrix, don't waste time calculating \( A^2 \) manually. Use \( A^2 - (\text{sum of diagonals})A + (\text{determinant})I = 0 \) to find the result in seconds.
Updated On: May 1, 2026
- \( A^2 - 2A + 2I = 0 \)
- \( A^2 - 3A + 2I = 0 \)
- \( A^2 - 5A + 2I = 0 \)
- \( 2A^2 - A + I = 0 \)
- \( A^2 + 3A + 2I = 0 \)
Show Solution
The Correct Option is B
Solution and Explanation
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