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jessica15

Member

Registered: 2011-05-23

Posts: 1

Linear algebra : Linear independence

Thanks for your help!!

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Linear algebra : Linear independence

hi jessica15

In effect, can one element be written as a linear combination of the others.

I have found

(the coefficient for the fourth element is zero)

I'm not sure what your second question means as 'i' isn't defined.  Is there a bit missing from this question?

I think it means

part one 'using all the elements'

part two 'using some of the elements'

If so, then my numbers above work for both parts since I haven't used the fourth element.

Bob

Last edited by Bob (2011-05-23 19:27:53)

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JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: Linear algebra : Linear independence

The second question means: Prove that one of the matrices can be written as a linear combination of the others. (You just rewrite the equation you found in the first question.)