The matrix A=[0 0;1 0] is given. For which of the following pairs is the set U a subspace of the vector space V=R^2x2, and the set Ω its basis? (a) U = {X ER2×2 | AX=0},(b) U = {XR2×2 | XA=0},(c) U = {X = R2×2 | A+x=0},= {[18], [8], [10]}.= {[89]}.= {[8]}.= {[8]}\N=(d) U = {X € R2x2 | AX + A'X=0}, = {[9], [8]}.(e) U = {X € R2×2 | AX + XA=0}, = {[11], [81]}.

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Answered: U = {X ER2x2 | AX=0}, OU= {XE R2x2 |…

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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U = {X ER2x2 | AX=0}, OU= {XE R2x2 | XA=0}, == U = {X = R2×2 | A+ X = 0}, = {[18], [8], []} = {[89]}. = {[8]}.