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12:41
YouTube
Bill Kinney
Jordan Canonical Form for a 2x2 Matrix with Repeated Eigenvalue (& 1 Linearly Independent E-vector)
The 2x2 matrix A=[-5 1][-1 -3] has a repeated eigenvalue and only one linearly independent eigenvector. It is therefore not diagonalizable. But, we can still find an invertible matrix P so that J=P^(-1)AP is the Jordan canonical form (a.k.a. Jordan normal form) for A, which is upper triangular with a "1" in the upper right spot and the ...
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