b. Let M2x2 consist of all the 2 x 2 matrices. M2x2 with the matrix addition and scalar multiple operations forms a vector space. Consider the subset U = {X € M2x2 | AX + XA = O} with A = -A 7

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
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Prove it has a subspace, then find the basis of the set
b. Let M2x2 consist of all the 2 x 2 matrices. M2x2 with the matrix addition and scalar multiple operations
forms a vector space. Consider the subset U = {X € M2×2 | AX + XA = O} with A =
[41]
Transcribed Image Text:b. Let M2x2 consist of all the 2 x 2 matrices. M2x2 with the matrix addition and scalar multiple operations forms a vector space. Consider the subset U = {X € M2×2 | AX + XA = O} with A = [41]
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