- #1

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[1,4,2,8]^t = v1

[2,5,3,9]^t = v2

[11,14,12,18]^t = v3

[4,3,2,1]^t = v4

How can i know which if any of these vectors can be removed without changing the span?

- Thread starter Derill03
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- #1

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[1,4,2,8]^t = v1

[2,5,3,9]^t = v2

[11,14,12,18]^t = v3

[4,3,2,1]^t = v4

How can i know which if any of these vectors can be removed without changing the span?

- #2

dx

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- #3

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How can i tell if the vectors are a basis for R^4?

- #4

HallsofIvy

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1) the vectors span the space

2) the vectors are independent

3) the set contains n vectors

and, any two of those is sufficient to prove the third.

You know you have four vectors here. If they are independent, then they must also span the space and are a basis. If they are not independent, they do not form a basis.

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