Let S = {(1,2, 1), (0, 1, 2), (0, 1, 3)} . Explain your answers for each of the following. (a) Does S span R³? (b) Is S linearly independent? (c) Is S a basis for R3?

Q: Explain why S is not a basis for P2. S = {1 – x, 1 – x², –1 – 4x + 5x²} S is linearly dependent. S…

A: Given a set S={1-x, 1-x2, -1-4x+5x2}  To Explain why S is not a basis for P2.

Q: (a) Given S={(1,-5,4), (11,6,-1), (2,3,5)} the set of vectors in R³. Determine whether (i) S spans…

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Q: Explain why S is not a basis for P2. S = {1 - x, 1 - x², -1 - 4x + 5x2} O sis linearly dependent. O…

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Q: 6. Let B be the following ordered basis for R?: в %3 {(1,—1), (2, -3)} . Find the coordinate vector…

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