Question: Let U be a subset of M 2x2 the vector space of a 2x2 matrices with real number entries, where U is the set of

Let U be a subset of M_2x2the vector space of a 2x2 matrices with real number entries, where U is the set of all matrices of the form *(shown below)* and a and b are real numbers.

[a b]

[b 2a-b]

Given the above information, I need to identify which properties of a subspace are satisfied and not satisfied, as well as justifying each claim with a proof or counterexample.

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