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In: Advanced Math

Determine which subsets are subspaces of M 2x2 (R) and prove your answer. a. W =...

Determine which subsets are subspaces of M 2x2 (R) and prove your answer.

a. W = {A ∈ M 2x2 (R) | a12 = -a21}

b. W = {A ∈ M 2X2 (R) | a12 = 1}

c. Fix B ∈ M 2x2 (R). Let W ={ A ∈ M 2x2 (R) | AB = BA

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