Why any matrix of $SU(2)$ is unitary diagonalizable?
I know from here why any matrix of $SU(2)$ is diagonalizable? that any matrix of $SU(2)$ is diagonalizable but why it is unitary diagonalizable?
Could anyone explain this for me please?
2026-03-30 06:46:39.1774853199
why any matrix of $SU(2)$ is unitary diagonalizable?
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A matrix is unitary diagonalizable if and only if it is normal: Normal Matrix, Wolfram MathWorld. Every matrix in $SU(2)$ is normal, and the result follows.