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

Expert Solution

Colby Messinger answered 2 years ago

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

Let M 2,2 be the set of all 2x2 matrices determine whether the following 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

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Determine if the following subsets are subspaces: 1. The set of grade 7 polynomials 2. The set of polynomials of degree 5 such that P (0) = 0 3. The set of continuous functions such that f (0) = 2

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please provide explanations within your proof 1) Prove that if ?1, ?2 are subspaces of ?...

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Let N be a submodule of the R-module M. Prove that there is a bijection between...

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