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Q 1 Let W be the subset of the vector space of 2 X 2 real matrices (i.e. M2x2) defined by W = {A=[:00 A b a 2b + 3c + d } - = 0 (1) Q (a) Show that W is a subspace of M2x2 with standard matrix addition and mutiplication. Q (b) Exhibit a spanning set of B of W (c) Verify that the spanning set is linearly indpendent Q 2 Prove the following statement: If the set {V1, V2, V3} of vectors in Rn is linearly dependent then the set {V1, V2, V3, V4} is also linearly dependent for all vectors V4 € Rn

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