- #1
RJLiberator
Gold Member
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Homework Statement
Find all diagonal unitary matrices.
Homework Equations
The Attempt at a Solution
I think I am starting to get the hang of this type of material.
I hope I am right in my thinking.
So if we have a diagonal matrix, let's say a 2x2 for a simple example:
[itex]
\begin{pmatrix}
a & 0\\
0 & b\\
\end{pmatrix}[/itex]
And we also have the condition that it is unitary, so the absolute values of the components must be equal to 1.
The general rule will then be:[itex]
\begin{pmatrix}
|a|=1 & 0\\
0 & |b|=1\\
\end{pmatrix}[/itex]
Where a,b ∈ℂ
And to make this more general, the pattern continues on for nxn matrices.