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If [(1,-tan theta),(tan theta,1)][(1,tan...

If `[(1,-tan theta),(tan theta,1)][(1,tan theta),(-tan theta,1)]^(-1)=[(a,-b),(b,a)],` then

A

`a=b=1`

B

`a=cos 2 theta, b=sin 2 theta`

C

`a=sin2 theta, b=cos 2 theta`

D

None of these

Text Solution

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The correct Answer is:
C
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ML KHANNA-MATRICES-PROBLEM SET(1) (MULTIPLE CHOICE QUESTIONS)
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  2. If F(alpha)=[(cos alpha, -sin alpha, 0),(sin alpha, cos alpha, 0),(0,0...

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  3. If [(1,-tan theta),(tan theta,1)][(1,tan theta),(-tan theta,1)]^(-1)=[...

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  15. There are two column vectors X=((x),(1)) and ((1,4),(5,2)) X is parall...

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  16. Let A be the set of all 3xx3 symmetric matrices all of whose entries a...

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  17. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

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