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November 01, 2025, 03:15:36 pm
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Author Topic: Regarding linear independence  (Read 601 times)  Share 

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jasoN-

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Regarding linear independence
« on: October 30, 2010, 10:45:25 am »
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If a question asks to prove that vectors a, b and c are linearly independent,
can I prove that they are NOT dependent, hence independent?
ie. if a = mb + nc, there are no m, n values that satisfy the vectors, hence independent (or is this the only way, idk)
thanks
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jasoN-

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Re: Regarding linear independence
« Reply #1 on: October 30, 2010, 11:03:28 am »
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another question
is this correct?
Scalar resolute of in the direction of (or parallel to) is
Scalar resolute of perpendicular to is
quite weird.
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Martoman

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Re: Regarding linear independence
« Reply #2 on: October 30, 2010, 11:15:11 am »
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Right and right.

For the first, you could also show m and n are either 0.

That *scalar* resolute always trips me up, i keep in onthing its a.b/b.b
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jasoN-

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Re: Regarding linear independence
« Reply #3 on: October 30, 2010, 11:59:44 am »
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thanks, i'd rather stick with one method approach :)
well you're not gonna have to remember the scalar resolute since we only have exam 2 left :D
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