Question: 3. Consider the matrix A with its associated REF and RREF. 0 3 O A = 10 13 1 07 2 -2 5 10 1

3. Consider the matrix A with its associated REF and RREF. 0 3 O A = 10 13 1 07 2 -2 5 10 1 0 3/4 REF(A) = 1 13/10 0 0 0 1 0 0 RREF (A) = 0 0 10 0 1 0 0 Justify your reasoning for each question. a. Are the columns of A linearly independent? b. Do the columns of A span R4? c. Do the column vectors of A form a basis for R? d. Give a basis for the rowspace of A and give its geometric description. e. Give a basis for the columnspace of A and give its geometric description. f. Confirm rank-nullity for A

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