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The matrix R(t) is defined by R(t)=[(cos...

The matrix R(t) is defined by `R(t)=[(cos t,sin t),(-sin t,cos t)]`. Show that `R(s)R(t)=R(s+t)`.

A

`R (s +t)`

B

`R (s -t)`

C

`R (s) + R (t)`

D

None of these

Text Solution

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The correct Answer is:
C
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