(b) Show that the set a 0 U₂ = is a subspace of M2×2 (R). 0 b {[8] : ab € R}

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter3: Matrices
Section: Chapter Questions
Problem 14RQ
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(1) Consider the space M2x2(R) of 2 x 2 matrices equipped with the usual addition
and scalar multiplication.
Transcribed Image Text:(1) Consider the space M2x2(R) of 2 x 2 matrices equipped with the usual addition and scalar multiplication.
(b) Show that the set
U₂ =
{ [
is a subspace of Max2(R).
a
0
0 b
] : a, b ER}
Transcribed Image Text:(b) Show that the set U₂ = { [ is a subspace of Max2(R). a 0 0 b ] : a, b ER}
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