explan **Given the matrix**\[\begin{bmatrix}-3 & 6 & 1 \\-1 & 1 & -1 \\1 & -2 & 0 \\\end{bmatrix}\](a) **Does the inverse of the matrix exist?**Your answer is (input Yes or No): Yes ✔(b) **If your answer is Yes, write the inverse as**\[\begin{bmatrix}-2 & -2 & -7 \\-1 & -1 & -4 \\1 & 0 & 3 \\\end{bmatrix}\]

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Answered: 1 -1 1 -1 1 -2 0 (a) does the inverse…

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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1 -1 1 -1 1 -2 0 (a) does the inverse of the matrix exist? Your answer is (input Yes or No): Yes (b) if your answer is Yes, write the inverse as Given the matrix -2 [-3 6 -1 -2 -1 0 -7 -4 3