Which one of the following is true? a) A single vector is linearly dependent. b) In an nxn invertible matrix, the columns form a basis for R". c) A spanning set that is as large as possible is a basis. d) None of the above.

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A: Part (i): Given,

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Q: A) -1.5 The following are results of the process of evaluating the integral I = 1¹5² In x dr…

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Q: a) f(x) = 2x + 1, c = 1 [b) f(x)=3√√x+1, c = 3 4 (c) f(x) = [d) f(x) = x+1 X 1- x , C = 2 c = -3…

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Q: could you also see if part c makes sense?

A: Yes part c makes sense as I have solved it below.

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Q: 5x1 + 3x2 −3x₁ +4x2+2x3 2x4 = 8 + x4 = -6 7x1 - 6x2 x3 + 3x4 = 2 - -x1 + 3x2 +4x3 - 8æ4 = 28. =

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