Question: In Exercises 1-2, (a) does the equation Ax = 0 have a nontrivial solution and (b) does the equation Ax = b have at least

In Exercises 1-2, (a) does the equation Ax = 0 have a nontrivial solution and (b) does the equation Ax = b have at least one solution for every possible b?
1. A is a 3 ( 3 matrix with three pivot positions.
2. A is a 4 ( 4 matrix with three pivot positions.

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