Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
In this exercise, we are given a matrix \( A = \begin{bmatrix} -1 & 2 \\ 1 & 3 \end{bmatrix} \) and asked to find \((A^{-1})^3\). ### Multiple Choice Options: 1. \( \begin{bmatrix} -17/120 & 8/120 \\ 9/120 & -1/120 \end{bmatrix} \) 2. \( \begin{bmatrix} -1 & 1 \\ 8 & 27 \end{bmatrix} \) 3. \( \begin{bmatrix} -31/120 & 13/120 \\ 9/120 & 1/120 \end{bmatrix} \) 4. \( \begin{bmatrix} -37/125 & 18/125 \\ 9/125 & -1/125 \end{bmatrix} \) Select the correct answer based on the calculation of \((A^{-1})^3\).
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Transcribed Image Text:In this exercise, we are given a matrix \( A = \begin{bmatrix} -1 & 2 \\ 1 & 3 \end{bmatrix} \) and asked to find \((A^{-1})^3\). ### Multiple Choice Options: 1. \( \begin{bmatrix} -17/120 & 8/120 \\ 9/120 & -1/120 \end{bmatrix} \) 2. \( \begin{bmatrix} -1 & 1 \\ 8 & 27 \end{bmatrix} \) 3. \( \begin{bmatrix} -31/120 & 13/120 \\ 9/120 & 1/120 \end{bmatrix} \) 4. \( \begin{bmatrix} -37/125 & 18/125 \\ 9/125 & -1/125 \end{bmatrix} \) Select the correct answer based on the calculation of \((A^{-1})^3\).
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