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Let A={:[(4,1),(-9,-2)]:},"then find "A...

Let ` A={:[(4,1),(-9,-2)]:},"then find "A^(100)`.

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To find \( A^{100} \) for the matrix \( A = \begin{pmatrix} 4 & 1 \\ -9 & -2 \end{pmatrix} \), we will follow these steps: ### Step 1: Express \( A \) in terms of \( I \) and \( B \) We can express the matrix \( A \) as: \[ A = I + B \] where \( I \) is the identity matrix and \( B \) is defined as: ...
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