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Let A be a 7 x 6 matrix such that Ax = 0 has only the trivialsolution. Find the rank and nullity of A.Let A

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Let A be a 7 x 6 matrix such that Ax = 0 has only the trivialsolution. Find the rank and nullity of A.Let A be a 5 x 7 matrix with rank 4. a. What is the dimension of the solution space of Ax = 0?b. Is Ax = b consistent for all vectors b in R?? Explain.

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