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Math · Algebra
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a) Is it true that the span of a non-zero vector in R2 is a line through the origin? b) Is it true that the span of any two non-zero vectors in R2 is R2? If not, write two non-zero vectors that do not span R c Is it true that the span of any two non-zero vectors in R is a plane though the origin? If not, write two non-zero vectors of R3 that do not span a plane though the origin. d) Can you find 4 linearly independent vectors is R If so, write 4 linearly independent vectors in R3 3? e) Can you find 4 vectors of R3 that span R3? If so, write 4 vectors in R3 that span R3.

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