Linear Algebra break down.....
I need some major help: Im pretty sure im doing its all right, but the answer kept denying it's right..
First lets start with this:
A=2 k
-8 7
find K where eigenvalues is multiplicity of 2.

Question

Linear Algebra break down.....
I need some major help: Im pretty sure im doing its all right, but the answer kept denying it's right..
First lets start with this:
A=2  k
    -8 7
find K where eigenvalues is multiplicity of 2.

anonymous · Answer

so A-lamda(T)= (9+-Sqr(81-(4(17+8k)))/2 <-- this should equal 1/2 right?

phi · Answer

I think you want the discriminant (stuff inside the sqrt) to be 0

anonymous · Answer

oh... wat does multiplicity of 2 mean than?

phi · Answer

multiplicity of two means you get the same lambda value twice. Generally speaking, not a good thing, because it makes it hard to find the second eigenvector

anonymous · Answer

i got 13/32, and its still wrong t.t

anonymous · Answer

had wrong definition of multiplicity. now i got it: but ... still wrong?

phi · Answer

btw, how did you get 81-(4(17+8k))
I think that 17 should be a 14?

anonymous · Answer

oh ye....

anonymous · Answer

so 25/32--

anonymous · Answer

bingo. correct: ty on this problem

anonymous · Answer

you want me to post here? or shall i create new post?