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Mr. Gregory White, Master's Degree

Category: Math Homework

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Experience: M.A., M.S. Education / Educational Administration

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1. Let v1, v2, v3, v4 be row vectors in the row 3-space V =

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1. Let v1, v2, v3, v4 be row vectors in the row 3-space V = R3. Form a matrix A:= (v1^t,.., v4^t) Suppose that A i show equivalent to following matrix R = (1302/ 0013/ 0000) (its a 3x4 matrix. the / means next row) (a) find asubset S of {v1, ... , v4} such that S is a basis of Span{v1, ..., v4} (b) express every vector vi (not in S) as a linear combination of vectors in S (c) Find a simpler basis of the row space Row(A) for the matrix A (d) Determine the dimension of the column space Col(A) for the matrix A (e) Determine the nullity(A) for the matrix A

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