0 0-1 00 -10 0 1-1Find the power of A for the matrix A =0 0 01A19 =

The given matrix A isA=-100000-100000-1000001000001To find the power of matrix A19.

Answered: Find the power of A for the matrix A =…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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0 0
-1 0
0 -1
0 0 1
-1
Find the power of A for the matrix A =
0 0 0
1
A19 =

Expert Solution

Step 1

$\begin{array}{l} The given matrix A is \\ A = [\begin{matrix} - 1 & 0 & 0 & 0 & 0 \\ 0 & - 1 & 0 & 0 & 0 \\ 0 & 0 & - 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \end{matrix}] \\ To find the power of matrix A^{19} . \end{array}$

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