Table of Contents



“Show that |v><v| is Hermitian.”

“Calculate (|v><v|)2.”

“Calculate (|v><v|)(|w><w|).”


This SWBQ is intended to help students become familiar with the properties of projection operators.

Wrap Up

Students should consider each question one at a time, followed by a brief class discussion to ensure students get the relevant points. In particular, (|v><v|)2 = (|v><v|) and (|v><v|)(|w><w|) = 0 as a way to building the matrix decomposition theorem.

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