Answer all questions with explantations and working 0(a) The matrix M is given by M = 2(i)(ii)(iii)23001 -1 0Evaluate M-1 (using elementary row operations).Evaluate M².(iv)(v)Use Matrix M to show that M² + 6M-1 = 71 where I is the 3 x 3 identity matrixand 0 is the zero matrix of the same order.Use the result in (ii) to show that M³ = 7M - 61.Find M³.

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Answered: 0 (a) The matrix M is given by M = 2 1…

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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Answer all questions with explantations and working

0
(a) The matrix M is given by M = 2
(i)
(ii)
(iii)
2
3
0
0
1 -1 0
Evaluate M-1 (using elementary row operations).
Evaluate M².
(iv)
(v)
Use Matrix M to show that M² + 6M-1 = 71 where I is the 3 x 3 identity matrix
and 0 is the zero matrix of the same order.
Use the result in (ii) to show that M³ = 7M - 61.
Find M³.

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Hello, could you possibly outline the steps used to solve all parts of steps 3 and 4. I understand the concept behind the question however, I am unable to follow the operations done in each part of the solutions given for the problems solved in steps 3 and step 4. Can you outline each step so I can follow closely thank you.

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