Let A = [-3,2,6
0,-1,6
0,0,-3]
Find an invertible matrix P and a diagonal matrix D such that D = P^{-1}AP.
find P and D
I worked out the polynomial -7x^3-7x^2-15x-9 to give x= -1,-3,-3
My answer for P= [1,0,0
1,-3,-3
0,1,1]
and D= -1,0,0
0,-3,0
0,0,-3
something's wrong!
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Let A = [-3,2,6
0,-1,6
0,0,-3]
Find an invertible matrix P and a diagonal matrix D such that D = P^{-1}AP.
find P and D
I worked out the polynomial -7x^3-7x^2-15x-9 to give x= -1,-3,-3
My answer for P= [1,0,0
1,-3,-3
0,1,1]
and D= -1,0,0
0,-3,0
0,0,-3
something's wrong!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
yes, surely, because they are eigenvalues of A, what I need is checking the order this guy arrange in P to have corresponding of numbers, like (-3,-1,-3) or (-1,-3,-3)
We cannot guess, right, kid? if we mess the order up, although we know it is the Diagonal matrix of A but the P is in different order of eigenvectors, We will be crazy when checking what wrong is, I had that experience. It made me crazy