If F (x) = [ array ccc x & - x & 0 x & x & 0 0 & 0 & 1 array ] and G (y) = [ array ccc y…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
If F (x) = \[\left[\begin{array}{ccc}
\cos \mathrm{x} & -\sin \mathrm{x} & 0 \\
\sin \mathrm{x} & \cos \mathrm{x} & 0 \\
0 & 0 & 1
\end{array}\right]\] and
G (y) = \[\left[\begin{array}{ccc} \cos y & 0 & \sin y \\ 0 & 1 & 0 \\ -\sin y & 0 & \cos y \end{array}\right]\] then [F (x) G (y)]–1 is equal to
G (y) = \[\left[\begin{array}{ccc} \cos y & 0 & \sin y \\ 0 & 1 & 0 \\ -\sin y & 0 & \cos y \end{array}\right]\] then [F (x) G (y)]–1 is equal to
- F (–x) G (– y)
- F (x–1) G (y–1)
- G (–y) F (–x)
- G (y–1) F (x–1)
Answer
(C) G (–y) F (–x)
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