iv) Let us connect the unit quaternions to some more familiar concepts. A unitary matrix s an n × n matrix U with complex entries satisfying, U-l = U*. Consider a 2 × 2 matrix, 21 2 U = ( 23 24

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If U is unitary with determinant one, what conditions must the zi satisfy?

(iv) Let us connect the unit quaternions to some more familiar concepts. A unitary matrix
is an n x n matrix U with complex entries satisfying,
U-l = U*.
Consider a 2 × 2 matrix,
U = ()
Z1
2
%3D
23
Transcribed Image Text:(iv) Let us connect the unit quaternions to some more familiar concepts. A unitary matrix is an n x n matrix U with complex entries satisfying, U-l = U*. Consider a 2 × 2 matrix, U = () Z1 2 %3D 23
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