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Manipal MET2010MathematicsMatrices

If A is an orthogonal matrix, then

Options

  1. Adet A= not exist
  2. Bdet A=0
  3. Cdet A= 1
  4. DNone of these

Correct answer

C. det A= 1

Step-by-step solution

Since, A is an orthogonal matrix, therefore, A A^ =I |A A^ |=|I| |A| |A^ |=1 |A||A|=1 ( |I|=1) |A|^2=1 ( |A^ |=|A| ) |A|= 1

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