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Mathematics 17 Online
OpenStudy (anonymous):

what is the solution ?

OpenStudy (anonymous):

Indeterminate :D

OpenStudy (anonymous):

-2.3 -2 x1 = 0 -1 -1.3 x2 0

OpenStudy (anonymous):

´-2,3x1-2x2=0 -1x1-1,3x2=0 solve the system

OpenStudy (anonymous):

^ i got that What do I do from there.

OpenStudy (anonymous):

lol

OpenStudy (anonymous):

x2= -2.3/2 * x1 x1= -1.3x2

OpenStudy (anonymous):

do I solve for the top in respect to x1 which gives me x2 distribute out x2 from the whole vector?

OpenStudy (anonymous):

the solution will be (x1=0,x2=0)

OpenStudy (anonymous):

becouse this vectors -2.3 -2 -1 -1.3 are independent, so no way you can get (0,0) vector from them

OpenStudy (anonymous):

in general, the homogeniuos system of equations has a solution diferent from triavial only if it's determinant is equal to 0. In this system it's not the case, so only trivial solution (0,0) exist

OpenStudy (anonymous):

I'm trying to diagonalize a 2x2 matrix and I've already determine the eigenvalues using the characteristic equation. Because I can't find the eigenvectors to each corresponding eigenvalue does that mean the 2x2 matrix im trying to diagonalize is cannot be diagonalized?

OpenStudy (anonymous):

I am a bit rusty on Algebra, but are the eigenvalues equal, different , eal ?....

OpenStudy (anonymous):

yeah they are different.

OpenStudy (anonymous):

I am not 100% sure (just don't remember) but just put this eigenvalues on the main diagonal and you have your diagonal matrix

OpenStudy (anonymous):

yeah that's D I'm trying to find P

OpenStudy (anonymous):

P?

OpenStudy (anonymous):

To show A=PDP^-1 I just need to prove that AP=PD

OpenStudy (anonymous):

Eigenvectors of P correspond to eigenvalues of A.

OpenStudy (anonymous):

In this problem I was trying to find the eigenvector using matrix A and one of its corresponding eigenvalue

OpenStudy (anonymous):

Ima post another questions with what I have done.

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