AI Tutor
Back to Unitary and hermitian matrices

Exercise 11.11.3

Avg difficulty 3.0

Determine which of the following matrices are unitary.

A=12[1i001ii01],B=13[122i−2i2i12ii2],C=12[11111i−1−i1−11−11−i−1i].A=\frac{1}{2}\left[\begin{array}{ccc}1&i&0\\ 0&1&i\\ i&0&1\\ \end{array}\right],\quad B=\frac{1}{3}\left[\begin{array}{ccc}1&2&2i\\ -2i&2i&1\\ 2i&i&2\\ \end{array}\right],\quad C=\frac{1}{2}\left[\begin{array}{cccc}1&1&1&1\\ 1&i&-1&-i\\ 1&-1&1&-1\\ 1&-i&-1&i\\ \end{array}\right].

Selinger, Matrix Theory and Linear Algebra, Inner product spaces, Unitary and hermitian matrices, Exercise 11.11.3

AI Tutor

Adapted from Matrix Theory and Linear Algebra © 2017–2026 Peter Selinger, Lyryx Learning, and Ken Kuttler. Licensed under CC BY 4.0. Source: Matrix Theory and Linear Algebra. Imported at revision d74bc3a.