b+ a 3 3b+3 3a 3 b+2 2a + 1 2 2b-5 -5a-7 2 1 b+2 2a +2 Thse vectors can't possibly be linearly independent. Tell why. Next obtain a linearly independent subset of these vectors which has the same span as these vectors. In other words, find a basis for the span of these vectors.

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A: We use the definition of coordinate vector relative to a given basis to answer the given question.

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A: Let (a,b) ∈ R2 , We write the (a,b) is the linear combination of the given vector (1,-2) and (-2,1)

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A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…