- #1
maverick280857
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Hi
This is more of a math question but in the context of Quantum Mechanics, hence I posted it here. Suppose I have a matrix A of order 3x3 with three eigenvalues: 0, 0, 5. I am supposed to find the diagonalizing matrix for A.
I know that in general, if P denotes the matrix of eigenvectors of A, then [itex]PAP^{-1}[/itex] will be a diagonal matrix.
In my particular example, for the eigenvalue 0,
AX = 0
gives infinitely many solutions for X, so the eigenvector with eigenvalue 0 cannot be uniquely determined.
How do I diagonalize such a matrix?
Thanks in advance,
Cheers
Vivek
This is more of a math question but in the context of Quantum Mechanics, hence I posted it here. Suppose I have a matrix A of order 3x3 with three eigenvalues: 0, 0, 5. I am supposed to find the diagonalizing matrix for A.
I know that in general, if P denotes the matrix of eigenvectors of A, then [itex]PAP^{-1}[/itex] will be a diagonal matrix.
In my particular example, for the eigenvalue 0,
AX = 0
gives infinitely many solutions for X, so the eigenvector with eigenvalue 0 cannot be uniquely determined.
How do I diagonalize such a matrix?
Thanks in advance,
Cheers
Vivek