Let A =Let X =0211[81]4x₁| X34x2+-12₁+4110M₂ =01X2X43+0₂+0x3+ 4₁ + 0x₂+ -4 X3Then AX = XA if and only if x₁, T2, T3, T4 satisfies the following system of linear equations:is the span of {M₁, M₂}, whereM₁ =01The set of 2 x 2 matrices X satisfying*4 = 0x₁ = 04x4 0AX = XA

Answered: Image /qna-images/answer/32e54736-ee72-41f5-bc52-3a1b3be76002.jpg

Answered: A= = X = [1 #1 X2 X3 X4 -4x2+1 ₁+ 4…

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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A= = X = [1 #1 X2 X3 X4 -4x2+1 ₁+ 4 13+0 x₂ +0x3+4 ₁ + 0x₂+-4 X3 Then AX = 0 the span of {M₁, M₂}, where 1 0 XA if and only if #₁, 2, 3, 4 satisfies the following system of linear equations: *4 = 0 e set of 2 x 2 matrices X satisfying *4 = 0 4x4 = 0 AX = XA

A= = X = [1 #1 X2 X3 X4 -4x2+1 ₁+ 4 13+0 x₂ +0x3+4 ₁ + 0x₂+-4 X3 Then AX = 0 the span of {M₁, M₂}, where 1 0 XA if and only if #₁, 2, 3, 4 satisfies the following system of linear equations: 4 = 0 e set of 2 x 2 matrices X satisfying 4 = 0 4x4 = 0 AX = XA