Question: Consider the matrix 1 1 a A: 1 2 {3 2 1 7 Notice that the rst two columns are orthogonal to (1, 1, 1).

Consider the matrix 1 1 a A: 1 2 {3 2 1 7 Notice that the rst two columns are orthogonal to (1, 1, 1). (a) For which choices of (01,3,7) is the third column a linear combination of the other two? (b) When this is the case, for which I) E R3 does Ax = b have a solution

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