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Let A be the matrix
-2 -3 3 -3 -2
-4 -5 2 -8 -6
6 12 -21 1 1
You are asked to find bases for the row and column spaces of A, and to answer a few other questions related to the rank and nullity of A.
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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