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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)+R(t)`

B

`R(st)`

C

`R(s+t)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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