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Let A be the matrix
-2 -3 3 -3 -2
-4 -5 2 -8 -6
6 12 -21 1 1
1. A basis for the row space of A is_________
2. Are the row vectors of A linearly independent?
3. A basis for the column space of A is________
4. Are the column vectors of A linearly independent?
5. The rank of A is and the nullity of A is__________
The solution set of the system Ax = 0 has parameters.
6. The rank of AT is and the nullity of AT is_________
The solution set of the system ATx = 0 has_______parameters.
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