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Let M 2,2 be the set of all 2x2 matrices determine whether the following subspaces. A) the set...

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Basic Math

LetM 2,2 be the set of all 2x2 matrices determine whether thefollowing subspaces.
A) the set of all 2x2 diagnol matrices
B) the set of all matrices with a12 entry
C) the set of all 2x2 triangular matrices

Answer & Explanation Solved by verified expert
3.9 Ratings (377 Votes)
Let M 22 be the set of all 2x2 matrices A Let V be the set of all 2x2 diagonal matrices Let A a 0 0 b and B c 0 0 d be 2 arbitrary 2x2 diagonal matrices in V and let k be an arbitrary scalar Then AB ac 0 0 bd which is a 2x2 diagonal    See Answer
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