16. The row reduced echelon form of the real 4 6-matrix A is [10 2 0...

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16. The row reduced echelon form of the real 4 6-matrix A is [10 2 0 1 0 1 -1 0 -2 0 R = 00 0 1 3 1 0 0 0 0 0 0 (a) Find a basis Bo for the row space of A and extend it to a basis B of R6. (b) If we know that B = (5, -2, 12, 2, a, b) is a vector in the row space of A, what are a and b and what is the coordinate matrix [B]B, of B relative to the basis Bo. (c) Find a basis Co for the column space of A in terms of columns of A. (d) Find the coordinate matrix [A(6)]c, of the last column of A relative to the basis Co. Find also [A(3) 24(4)+2A(5) - 4A(6)] co- 16. The row reduced echelon form of the real 4 6-matrix A is [10 2 0 1 0 1 -1 0 -2 0 R = 00 0 1 3 1 0 0 0 0 0 0 (a) Find a basis Bo for the row space of A and extend it to a basis B of R6. (b) If we know that B = (5, -2, 12, 2, a, b) is a vector in the row space of A, what are a and b and what is the coordinate matrix [B]B, of B relative to the basis Bo. (c) Find a basis Co for the column space of A in terms of columns of A. (d) Find the coordinate matrix [A(6)]c, of the last column of A relative to the basis Co. Find also [A(3) 24(4)+2A(5) - 4A(6)] co-