Let 3 1 7 3 9 3 1 706 2 2 2 7 5 0 2 4 0 3 A and B 5 9 3 3 4 0 2 6 6 3 7 0 0 1 1 00000 can be shown that A and B are row

Question

Let 3 1 7 3 9 3 1 706 2 2 2 7 5 0 2 4 0 3 A and B 5 9 3 3 4 0 2 6 6 3 7 0 0 1 1 00000 can be shown that A and B are row equivalent a Find a basis for Row A b Can you find a basis for Row 4 that is a subset of the rows of A Hint Think about how we find a basis for Col 4 e Find a basis for Col A4 d Find a basis for Nul 4 Recall that the nullspace of a matrix A is the solution set of AZ 0 e Find the rank of A and the nullity of A f Verify that the rank nullity theorem holds here

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