- #1
jake96
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Homework Statement
I have 4 equations.
3x+6y-5z-t=-8
6x-2y+3z+2t=13
4x-3y-z-3t=-1
5x+6y-3z+4t=-6
I have already solved this matrix using gauss elimination and found that x=1, y=2, z=5, t=-2
Now the next part of the question asks to solve the matrix using eigenvalues and eigenvectors.
Homework Equations
Eigenvalues and Eigenvectors
The Attempt at a Solution
I have worked through to find the eigenvalues and received this equation
0=L^4 - 4(L^3) - 30(L^2) - 162L + 537, where L is lander
from this I found the Eigen values
2.2522
8.7456
-3.4989-3.8757i
-3.4989+3.8757i
Which I am fairly confident are correct.
However I am unsure about how to continue from here and how the corresponding eigenvectors will solve the matrix.
Thanks Very Much