If m=[\table 1,0;0,1] and n=[\table 0,1;-1,0]then what is the value of the determinant of m\cos\theta-n\sin\theta [NDA II 2016]

UPSC NDA 2 2016 Mathematics Solved Paper

Question : 25 of 120

Marks: +1, -0

If m=[

1	0
0	1

] and n=[

0	1
−1	0

]then what is the value of the determinant of m‌cos‌θ−n‌sin‌θ

[NDA II 2016]

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cos‌θ	0
0	cos‌θ

0	sin‌θ
−sin‌θ	0

cos‌θ	−sin‌θ
sin‌θ	cos‌θ