- #1
arkturus
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Homework Statement
Given the matrix A = [1 0 0
-2 1 3
1 1 -1]
Find an invertable matrix X and a diagonal matrix D such that A = XDX^-1
Homework Equations
A = XDX^-1
The Attempt at a Solution
I've found that the eigenvalues are -2, 2, and 1, but I'm having issues finding the specific eigenvectors.
For example, with eigenvalue = -2 I get the matrix down to [3 0 0
-2 0 0
0 1 1]
Am I correct in saying that x1 = 0, x2 = 0, and x3 = t, thus the corresponding eigenvector is (0,0,1)^T