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Hello...
Given the matrix A
\(
A = \[ \begin{array}{ccc}
0 & 1 & 0 \\
0 & 0 & 1 \\
1 & -3 & 3 \end{array}
\]
\)
I am trying to do this exercise about jordan canonical form... I understand that I have to calculate using this expression \(J = P^{-1}AP\)
But all the eigenvalues of the matrix are the same... all of them are equal to one! Therefore, the matrix P is not invertible! How should I proceed in this case? Could anyone explain to me please?
Thanks
Given the matrix A
\(
A = \[ \begin{array}{ccc}
0 & 1 & 0 \\
0 & 0 & 1 \\
1 & -3 & 3 \end{array}
\]
\)
I am trying to do this exercise about jordan canonical form... I understand that I have to calculate using this expression \(J = P^{-1}AP\)
But all the eigenvalues of the matrix are the same... all of them are equal to one! Therefore, the matrix P is not invertible! How should I proceed in this case? Could anyone explain to me please?
Thanks
