Question

Let A be a 5x6 Matrix with two pivot columns. The null space of A is a subspace of R^a and the column space of A is R^b, where a and b are positive integers.

a.) What are the values of a and b?

b.) What is the rank of A

c.) What is the dimension of null space of A?2. Let A be a 5x6 matrix with 2 pivot columns. The null space of A is a subspace of and the column space of A is a subspace of| b, where a and b are positive integers. a. What are the values of a and b? b. What is the rank of A? c. What is the dimension of the null space of A?

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