The row reduced echelon form of 3 X 4 matrix A with columns c1, c2, c3 and c4 1001 is given by 0 1 0 2 0 0 10 Choose all items that are valid about the column space of A a. col(A)=R³ b. {c1,c2,c3} is a basis for col(A) c. col(A)= {c1,c2,c3} d. col(A)=span{c1, c2.c3,c4} e. The column space has dimension 2. | f. col(A)=span{c1, c2,c3}

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A: Recall: LU factorization by using Gaussian Elimination method

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A: See the detailed solution below.