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Question 2 (1 point) Retake question

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The product of the Eigen values of an orthogonal matrix is 
qquad
0
1
2

+-1

Question 22 (11 point) Retake question\newline \checkmark Saved\newlineThe product of the Eigen values of an orthogonal matrix is \qquad \newline00\newline11\newline22\newline±1 \pm 1

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Q. Question 22 (11 point) Retake question\newline \checkmark Saved\newlineThe product of the Eigen values of an orthogonal matrix is \qquad \newline00\newline11\newline22\newline±1 \pm 1
  1. Orthogonal Matrix Determinant: An orthogonal matrix has determinant equal to ±1\pm 1, and the determinant is also the product of its Eigenvalues.
  2. Product of Eigenvalues: Since the determinant of an orthogonal matrix is either 11 or 1-1, the product of its Eigenvalues must also be 11 or 1-1.