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Linear Algebra

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Which False

LINALG-4UEYOU

Which of the following statements are false?

$(i)$ $2 x^2 +3x^3 -2 x^4$ is a linear combination of: $(x^2, x^3, x^4)$

$(ii)$ $3 x^2-x+1$ is a linear combination of: $(x^2, x, 1)$

$(iii)$ $\sqrt x+\cfrac{1}{3} y$ is a linear combination of $(x,y)$

A

$(i)$, $(ii)$ and $(iii)$ are all true.

B

$(i)$, $(ii)$ and $(iii)$ are all false.

C

$(ii)$ and $(iii)$ are true and $(i)$ is false.

D

$(i)$ and $(ii)$ are true and $(iii)$ is false.

E

$(i)$ and $(iii)$ are true and $(ii)$ is false.

F

$(i)$ is true and $(ii)$ and $(iii)$ are false.