Question: 1. Let A = 1 3 4 3 2 6 5 1 8 and b = b1 b2 b3 . (a) Show that the matrix

1. Let A = 1 3 4 3 2 6 5 1 8 and b = b1 b2 b3 . (a) Show that the matrix Ax = b does not have a solution for all possible b; that is, show that there exists at least one b for which Ax = b does not have a solution. (b) Describe the set of all b for which Ax = b does have a solution.

1. Let A = 1 3 4 3 2 6 5 1

-4 b1 1. Let A = -3 2 6 and b = b2 5 -1 -8 b3 (a) Show that the matrix Ax = b does not have a solution for all possible b; that is, show that there exists at least one b for which Ax = b does not have a solution. (b) Describe the set of all b for which Ax = b does have a solution

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