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Question: answer to the following questions a is it true that...

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Problem 8 (H). Answer to the following questions. 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 R3 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 R3? If so, write 4 linearly independent vectors in R3 e) Can you find 4 vectors of Rs that span 3? If so, write 4 vectors in R that span. R3 3

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