- #1
shellizle
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Homework Statement
Find an invertible matrix P and a diagonal matrix D such that D=P^(-1)AP.
A=
(−1 2 −2)
(−2 3 −2)
( 2 −2 3)
Homework Equations
The Attempt at a Solution
the eigenvalues are 1, 1, and 3
the eigenvector I've found so far is for the eigenvalue 3, which is t(1, -1, 1)
when i was attempting to find the eigenvector of 1,
i did (1*I-A)(x), and then reduced the matrix to
(1 1 -1)
(0 0 0)
(0 0 0)
and in polynomial form it would be
x+y-z=0
how am i suppose to put this in homogeneous form? x=(a, b, c)t
thanks in advance!