Then A-1 If A = 5 1 -16 -3 0 0 0 -1 0 w 00+ 4 -13

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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If \( A = \begin{bmatrix} 5 & 1 & 0 & 0 \\ -16 & -3 & 0 & 0 \\ 0 & 0 & -1 & 4 \\ 0 & 0 & 3 & -13 \end{bmatrix} \)

Then 

\( A^{-1} = \begin{bmatrix} \Box & \Box & \Box & \Box \\ \Box & \Box & \Box & \Box \\ \Box & \Box & \Box & \Box \\ \Box & \Box & \Box & \Box \end{bmatrix} \) 

(The second matrix is a placeholder for \( A^{-1} \), the inverse of matrix \( A \), with empty boxes indicating where each element should be calculated and placed.)
Transcribed Image Text:If \( A = \begin{bmatrix} 5 & 1 & 0 & 0 \\ -16 & -3 & 0 & 0 \\ 0 & 0 & -1 & 4 \\ 0 & 0 & 3 & -13 \end{bmatrix} \) Then \( A^{-1} = \begin{bmatrix} \Box & \Box & \Box & \Box \\ \Box & \Box & \Box & \Box \\ \Box & \Box & \Box & \Box \\ \Box & \Box & \Box & \Box \end{bmatrix} \) (The second matrix is a placeholder for \( A^{-1} \), the inverse of matrix \( A \), with empty boxes indicating where each element should be calculated and placed.)
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