Question

If A is an orthogonal matrix then
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Answer 1

Answer:

Orthogonal matrix is a square matrix with real entities whose columns and rows are orthogonal unit vectors. ⇒AAT=I. Apply det on both sides , we get ∣A∣×∣AT∣=∣I∣ ⇒∣A∣2=1. ⇒∣A∣=±1.

Step-by-step explanation: