Diagonalizability
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For each of the following matrices, determine whether or not the matrix is diagonalizable.
You may use technology to find the eigenvalues and to row reduce matrices, but that's all.
Show your work and explain why the matrix is or isn't diagonalizable.
(a) A=
(b) B=
(c) C=
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Solution Summary
This provides examples of determining whether or not matrices are diagonalizable.
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A real valued n by n matrix is diagonalizable if and only if there are n linearly independent eigenvectors. Any set of eigenvectors corresponding to distinct eigenvalues are automatically linearly independent. So to determine whether a matrix is diagonlizable, we just need to check that the dimension of the nullspace of each ...
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