Math 2331 { Linear Algebra
5.3 Diagonalization DiagonalizationTheoremExamples Diagonalization: Example Example Diagonalize the following matrix, if possible. A = 2 4 2 4 6 0 2 2 0 0 4 3 5: Since this matrix is triangular, the eigenvalues are 1 = 2 and 2 = 4. By solving (A I)x = 0 for each eigenvalue, we would nd the following: 1 = 2 : v 1 = 2 4 1 0 0 3 5, 2 = 4 : v 2 = 2 ...
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