Provide an appropriate response.Which of the following statements are true?I: 2v1 + 2v2 - 3v3 is an affine combination of the 3 vectors.II: The affine hull of two distinct points is a plane.III: If S = {x}, then aff S = {x}. IV: If a set of vectors in ?n is linearly independent, then every vector in ?n can be written as an affine combination of these vectors.

A. I and III
B. I , III, and IV
C. I and II
D. II and IV


Answer: A

Mathematics

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Divide.80 ÷ 10

A. 8 B. 0 r 10 C. 10 D. 1

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Find the product.(-2 + x)(3x + 1)

A. 3x2 - 2x - 5 B. x2 - 5x - 5 C. 3x2 - 5x - 2 D. 3x2 - 6x - 2

Mathematics

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse.f(x) = 

A. f-1(x) = 
B. f-1(x) = x2 - 3, x ? 0

C. Not one-to-one
D. f-1(x) = (x + 3)2

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Find the inverse, if it exists, for the matrix.

A.

B.

C.

D.

Mathematics