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1 -3 0 0 5 9 0 0 -15 Let A= . Find a basis for the row space of 4, a basis for 0O

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1 -3 0 0 5 9 0 0 -15 Let A= . Find a basis for the row space of 4, a basis for 0O O 1 2 5 0 O o -1 -1 the column space of 4, a basis for the null space of 4, the rank of A, and the nullity of 1 -3 0 0 -5 g 0 L 4 3 A. (Note that the reduced row echelon form of A4 is ) g o & 1 1 0 g a o Row Space basis: [1,-3,0,0,~5],[1.,3] Column Space basis: [1,3,0,0],[0,0,-1,0][,0,0,2,1] Null Space basis: [3,1,0,0,0],[5,0,3,~1,1] Rank: 3 Nullity: 2

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