Question: linear algebra 4. Use the column space and null space of a given matrix A to answer the following: a. (3 pts) Suppose Ax =

linear algebra

4. Use the column space and null space of a given matrix A to answer the following: a. (3 pts) Suppose Ax = b is consistent and Ax = p is consistent. Can you guarantee that Ax = 2b p is consistent? Explain. b. (3 pts) Suppose y is a solution to Ax = b and z is a solution to Ax = b. Under what condition can you guarantee that 3y + 52 is a solution to Ax = b? Explain

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