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Preview Activity 3 5 1 Let s consider the following matrix A and its reduced...

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Preview Activity 3 5 1 Let s consider the following matrix A and its reduced row echelon form A 2 1 0 2 31 0 1 0 01 0 0 2 1 00 a Are the columns of A linearly independent Is the span of the columns R b Give a parametric description of the solution space to the homogeneous equation Ax 0 0 27 c Explain how this parametric description produces two vectors w whose span is the solution space to the equation Ax 0 e Let s denote the columns of A as v V2 V3 can be written as linear combinations of V1 d What can you say about the linear independence of the set of vectors w and W2 and v4 and v f Explain why v and v are linearly independent and Span V1 V Span V1 V2 V3 V4 and w2 Explain why v3 and V4

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