5. Prove that an orthogonal 2 × 2 matrix must have the form or -a. Note: From this, we can conclude that every 2×2 orthogonal matrix is of the form cos 0 sin -sin 0 cos

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5. Prove that an orthogonal 2 x 2 matrix must have the form
[a -b]
a
b]
or
cos 0 sin 0]
- sin 0 cos 0
Note: From this, we can conclude that every 2x2 orthogonal matrix is of the form
Transcribed Image Text:5. Prove that an orthogonal 2 x 2 matrix must have the form [a -b] a b] or cos 0 sin 0] - sin 0 cos 0 Note: From this, we can conclude that every 2x2 orthogonal matrix is of the form
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