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Engineering Maths · Q36

Linear Algebra

Engineering and GATE · Engineering Maths · question 36

Q36

The matrix \[ P = [ array*20c 0&0&1 \\ 1&0&0 \\ 0&1&0 array ]\] rotates a vector about the axis \[ [ array*20c 1 \\ 1 \\ 1 array ]\] by angle of

The matrix {\text{P}} = \left[ {\begin{array}{*{20}{c}} 0&0&1 \\ 1&0&0 \\ 0&1&0 \end{array}} \right]   rotates a vector about the axis \left[ {\begin{array}{*{20}{c}} 1 \\ 1 \\ 1 \end{array}} \right] by angle of
A.
30°
B.
60°
C.
90°
D.
120°
Answer

Answer: Option D

Solution

Answer: Option D
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