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Engineering Physics · Q62

Mathematical Physics

Engineering and GATE · Engineering Physics · question 62

Q62

The eigen values of the matrix \[ [ array*20c & - \\ & array ]\] are

The eigen values of the matrix \left[ {\begin{array}{*{20}{c}} {\cos \theta }&{ - \sin \theta } \\ {\sin \theta }&{\cos \theta } \end{array}} \right]   are
A.
  when θ = 45°
B.
  when θ = 30°
Answer
C.
±1 since, the matrix is unitary
D.
  when θ = 30°

Answer: Option B

Solution

Answer: Option B
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