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If A(theta) = [(cos theta ,sin theta ),(...

If `A_(theta) = [(cos theta ,sin theta ),(-sin theta ,cos theta )] ` then `A_(alpha)A_(beta)` equals :

A

`A (alpha_1alpha_2)`

B

`A (alpha_1+alpha_2 )`

C

`A (alpha_2-alpha_1)`

D

`A (alpha_1-alpha_2)`

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
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  2. If A=[[3 ,1] , [-1 , 2]] then A^(2)=

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  3. If A(theta) = [(cos theta ,sin theta ),(-sin theta ,cos theta )] then...

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  4. If A= [[1,1,1],[1,1,1],[1 ,1,1]] then A^(2)=

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  5. If A = [[ 2 ,-1] , [ 0 , 1 ]] and B=[[-3],[4]] then A B=

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  6. If [[x+y] , [x-y]]=[[2,1] , [4,3]] [[1],[-2]] then (x,y)

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  10. Let A = [[1,2],[0,1]]. Then A^(n) =

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  11. If A=[[2,3 ],[4,1]], B=[[1,2],[3,1]], then 2 A-3 B is

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  18. If A is a square matrix then A . A^(T) is

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  19. If A+B=[[1,0],[1,1]] and A-2 B=[[-1,1],[0,1]] then A=

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