Find all values of such that the set is linearly dependent.

Work for this problem:

We have

Row 1 - Row 2 yields:

Now not sure where to proceed.

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- Sep 29th 2008, 05:31 PMLinAlgLin. Dep. Matrix
Find all values of such that the set is linearly dependent.

Work for this problem:

We have

Row 1 - Row 2 yields:

Now not sure where to proceed. - Sep 30th 2008, 11:55 AMLinAlg
I believe a = -1 works just by playing with it, but I don't know how to tell if that's the only solution or if there are others. . . anyone ?!

- Sep 30th 2008, 12:09 PMMoo
Hello,

I'm sorry no one is replying to your threads :s

Hmm I'll try for this one. Seems easy (Tongueout)

Two vectors are linearly dependent if there are m and n different from 0 such that mu+nv=0. ---> mu=-nv.

So you have to set a such that the coordinates in the matrices have a common ratio.

so now find a :)

Note : this is similar to finding a such that the matrix 2x2 you've got is non invertible (determinant = 0)