advanced-linear-algebra

Invariant subspaces and upper-triangular form

taught

A chain of invariant subspaces, one inside the next, is exactly what makes an operator's matrix upper triangular relative to a basis built from that chain.

Taught in

Invariant subspaces and upper-triangular form
Advanced Linear Algebra

Requires

every-operator-has-a-complex-eigenvalue required
invariant-subspaces required

Required by

Schur's theorem required

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.