Question: 3 Please Answer in detail. 2.72 A is a 4 x 5, rank 2, matrix for which the vectors X, = [17, 6, -13, 1,

3 Please Answer in detail.

2.72 A is a 4 x 5, rank 2, matrix for which the vectors X, = [17, 6, -13, 1, 2]', X2 = [1, 2, 3, 4, 5]', and X3 = [5, 4, 3, 2, 1] all satisfy AX = 0. a. Prove that X1, X2, and X3 span the solution space to the system AX = 0. b. Is it possible to find a 4 x 5, rank 3 matrix B such that the given X; all satisfy BX; = 0

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