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Let A = Let X = 0x13x2+ -5xị+ X3 M₂ *2]. Then AX = XA if and only if x1, X2, X3, X4 satisfies the following system of linear equations: X3+ x₂ + 0x3+ x₁ + 0x₂+ 0 1 The set of 2 x 2 matrices X satisfying X4 = 0) is the span of {M₁, M₂), where M₁ = X4 = 0 x3 3x4 = 0 1 AX = XA

Let A = Let X = 0x13x2+ -5xị+ X3 M₂ *2]. Then AX = XA if and only if x1, X2, X3, X4 satisfies the following system of linear equations: X3+ x₂ + 0x3+ x₁ + 0x₂+ 0 1 The set of 2 x 2 matrices X satisfying X4 = 0) is the span of {M₁, M₂), where M₁ = X4 = 0 x3 3x4 = 0 1 AX = XA

Advanced Engineering Mathematics
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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Let A = - [31 X1 X3 0x₁ - 3x₂+ -5xị+ Let X = X2 X4 x₁ + 0x₂+ M₂ = x3+ x₂ + 0x3+ 0 Then AX = XA if and only if X₁, X2, X3, X4 satisfies the following system of linear equations: The set of 2 x 2 matrices X satisfying is the span of {M₁, M₂), where M₁ = 1 X4 = 0 0 X4 = 0 x3 3x4 = 0 - AX = XA
Transcribed Image Text:Let A = - [31 X1 X3 0x₁ - 3x₂+ -5xị+ Let X = X2 X4 x₁ + 0x₂+ M₂ = x3+ x₂ + 0x3+ 0 Then AX = XA if and only if X₁, X2, X3, X4 satisfies the following system of linear equations: The set of 2 x 2 matrices X satisfying is the span of {M₁, M₂), where M₁ = 1 X4 = 0 0 X4 = 0 x3 3x4 = 0 - AX = XA
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