1
Question
If F(x)=⎡⎢⎣cos x−sin x0sin xcos x0001⎤⎥⎦, then F(x).F(y)=
If F(x)=⎡⎢⎣cos x−sin x0sin xcos x0001⎤⎥⎦, then F(x).F(y)=
Open in App
Solution
The correct option is C F(x+y)
F(x).F(y)=⎡⎢⎣cos x−sin x0sin xcos x0001⎤⎥⎦⎡⎢⎣cos y−sin y0sin ycos y0001⎤⎥⎦⎡⎢⎣cos x.cos y−sin x.sin y−cos x.sin y−sin x.cos y0sin x.cos y+cos x.sin y−sin x.sin y+cos x.cos y0001⎤⎥⎦⎡⎢⎣cos (x+y)−sin(x+y)0sin (x+y)cos (x+y)0001⎤⎥⎦=F(x+y)
F(x+y)
F(x).F(y)=⎡⎢⎣cos x−sin x0sin xcos x0001⎤⎥⎦⎡⎢⎣cos y−sin y0sin ycos y0001⎤⎥⎦⎡⎢⎣cos x.cos y−sin x.sin y−cos x.sin y−sin x.cos y0sin x.cos y+cos x.sin y−sin x.sin y+cos x.cos y0001⎤⎥⎦⎡⎢⎣cos (x+y)−sin(x+y)0sin (x+y)cos (x+y)0001⎤⎥⎦=F(x+y)
Suggest Corrections
0
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
