Proof Prove that the matrix below is orthogonal forany value of .[cos sin 0sin cos 0001]
Chapter 7, Problem 59(choose chapter or problem)
Prove that the matrix below is orthogonal for any value of \(\theta\).
\(\left[\begin{array}{rrr}
\cos \theta & -\sin \theta & 0 \\
\sin \theta & \cos \theta & 0 \\
0 & 0 & 1
\end{array}\right]\)
Text Transcription:
theta
[cos theta -sin theta 0
sin theta cos theta 0
0 0 1]
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