Question: Let v1= (1 3 -2) ~v2=(2 71) ~v3= (1 2 5)~v4=(2 5 2)~v5=(2 2 11) (a) Let A be the matrix with columns~v1,~v2,~v3,~v4and~v5.Find the reduced

Let v1= (1 3 -2) ~v2=(2 71) ~v3= (1 2 5)~v4=(2 5 2)~v5=(2 2 11)

(a) Let A be the matrix with columns~v1,~v2,~v3,~v4and~v5.Find the reduced row echelon form (RREF) of A.

(b)Use the result from part (a) to write vi, for i= 3 and i= 5, as linear combinations of~v1,~v2and~v4. Conclude that span(~v1,~v2,~v3,~v4,~v5)=span(~v1,~v2,~v4).

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