Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

Question:

Suppose that v1=(1,1,1,1), v2=(2,2,2,2), and v3=(3,3,3,3).  Which of the following vectors are in span ? Explain your work.

A) (2, 3, -7, 3)

B) (0, 0, 0 ,0)

C) (1, 1, 1, 1)

D) (-4, 6, -13, 4)

My Comments:

I've attempted this problem by setting the vectors equal to the multiple choice answers. I placed them in augmented form and took the reduced row echelon form. However, so far A and B are coming out equal making me conclude that A and B are in span. Am I solving this correctly? Did I get it right?

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