A= ය ය ය ප 0 3 3-7 0 6 3 -9 -6 6 4 -5 8 -58 9 -12 12 8 -10 12 -96 15 22 23 34 25 16 and its RREF: 1 0-2 3 0 -24 0 1 -2 2 0 -7 0 0 0 0 1 4 0 0 0 0 0 0 (a) Which variables are pivots? Which variables are free? (b) Indicate a basis for the column space of A. Explain briefly how you determined the basis for the column space.
(c) Indicate a basis for the row space of A. Explain briefly how you determined the basis for the row space. (d) The dimension of the null space N(A) is: because (e) The rank of A is: because
A= ය ය ය ප 0 3 3-7 0 6 3 -9 -6 6 4 -5 8 -58 9 -12 12 8 -10 12 -96 15 22 23 34 25 16 and its RREF: 1 0-2 3 0 -24 0 1 -2 2
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A= ය ය ය ප 0 3 3-7 0 6 3 -9 -6 6 4 -5 8 -58 9 -12 12 8 -10 12 -96 15 22 23 34 25 16 and its RREF: 1 0-2 3 0 -24 0 1 -2 2
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