advanced-linear-algebra

Schur's theorem

taught

Every operator on a finite-dimensional complex inner product space has an UPPER-TRIANGULAR matrix relative to some ORTHONORMAL basis -- triangularization achievable with no loss of orthogonality.

Taught in

Schur's theorem
Advanced Linear Algebra

Requires

invariant-subspaces-and-upper-triangular-form required
the-adjoint-operator-t-star required

Required by

Schur decomposition, computed required
The complex spectral theorem required

Local knowledge map

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