advanced-linear-algebra
The spectral mapping theorem
taught
The eigenvalues of p(T) are EXACTLY {p(lambda) : lambda an eigenvalue of T} -- no more, no less, turning a polynomial's own behavior on numbers into a fact about matrices.
Taught in
-
The spectral mapping theorem
Advanced Linear Algebra
Requires
- cayley-hamilton-via-jordan-form required
Required by
- Functions of a diagonalizable matrix required
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Local knowledge map
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