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Linear Algebra

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Moderate

Not a Subspace of $R^4$

LINALG-JIEXWF

Which if any of the following are NOT subspaces of $R^4$?

Select ALL that apply.

A

All real vectors of length $4$, which have $1$ as the first component.

B

All real vectors of length $4$, which have $0$ as the last component.

C

A vectors in $R^4$ which contain only positive numbers.

D

$\left \{\left [\matrix { 0 \cr 0 \cr 0 \cr 0 }\right ]\right \}$

E

All vectors in $R^4$ of length $2$.

F

All vectors in $R^4$ which have exactly one non-zero component.