= = 13. Let vi = (1,1,2,0,2), v2 = (1,-1,1,1, -1), V3 = (1,2,-1,1,3), and v4 = (2,-1,-1,3, -1) be vectors in R". (a) How
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= = 13. Let vi = (1,1,2,0,2), v2 = (1,-1,1,1, -1), V3 = (1,2,-1,1,3), and v4 = (2,-1,-1,3, -1) be vectors in R". (a) How
= = 13. Let vi = (1,1,2,0,2), v2 = (1,-1,1,1, -1), V3 = (1,2,-1,1,3), and v4 = (2,-1,-1,3, -1) be vectors in R". (a) How can you tell, without lifting a pencil or using a computer, that there is a non-zero vector that is perpendicular to each of v1, V2, V3, and v4? (b) Find a non-zero vector w in R5 that is perpendicular to each of v1, V2, V3, and V4.
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