Question: 7. [6 points] Let 4 = 3 10 15] (a) Find a basis for the row space Row(A). A = 1 2 -1 4 1

7. [6 points] Let 4 = 3 10 15] (a) Find a basis for the row space Row(A). A = 1 2 -1 4 1 2 - 14 10 - 1 19 6 -3 12 0/ 2 (b) Find a basis for the column space Col(A). Basis for the column space Col( A ) 0/01-5 (c) Find the dimension of {Ax xER' ]. The dimension of EAX/ RE RU dimension 1 .- 0 / 0.5 (d) Find a basis for the nullspace Null(A] = (x ( R'|Ax = 0). Basis for the null space Null (A) = EXE 124 / A7=03 0/1-5 (e) Verify that dim(Null(A)) + rank(A) =4. dim ( Null ( A)) + rank (A ) = 4 V Explanation ? 0/0.5

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