3. Prove that the set of 3 by 3 matrices ba+b 0 b + c b W b a+c c forms a vector subspace of the space of all 3 by 3 matrices. a basis for this subspace. α =

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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3. Prove that the set of 3 by 3 matrices
ba+b
b 0b+c
b
W =
a
a + c c
forms a vector subspace of the space of all 3 by 3 matrices.
a basis for this subspace.
Transcribed Image Text:3. Prove that the set of 3 by 3 matrices ba+b b 0b+c b W = a a + c c forms a vector subspace of the space of all 3 by 3 matrices. a basis for this subspace.
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