advanced-linear-algebra
Functions of a diagonalizable matrix
taught
f(A) := P f(D) P^-1 for diagonalizable A=PDP^-1 -- applying f entrywise to the eigenvalues on the diagonal, well-defined for any function f, not just polynomials.
Taught in
-
Functions of a diagonalizable matrix
Advanced Linear Algebra
Requires
- the-spectral-mapping-theorem required
Required by
Local knowledge map
Local knowledge map
Click to expand
Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.