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

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

A

`[(costheta,-sintheta),(sintheta,costheta)]`

B

`[(-costheta,sintheta),(sintheta,costheta)]`

C

`[(sintheta,-costheta),(costheta,sintheta)]`

D

`[(-sintheta,costheta),(costheta,-sintheta)]`

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AAKASH SERIES-MATRICES -INVERSE OF A MATRIX- EXERCISE - II
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  2. If [(1,-tan theta),( tan theta,1)][(1,tan theta),(-tan theta, 1)]^-1=[...

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  3. If A=[(cosalpha,-sinalpha,0),(sinalpha,cosalpha,0),(0,0,1)] then ("Adj...

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  4. If F(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)] and G(x)=[(cosx,0,sinx)...

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  5. If A=[(-1,-2,-2),(2,1,-2),(2,-2,1)] and "Adj A"=A=xA^(T) then x =

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  6. If A is a square matrix such that A(AdjA)=((4,0,0),(0,4,0),(0,0,4)) th...

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  7. Let A=[(-1,1,1),(1,-1,1),(1,1,-1)] then |"Adj (Adj A)"|=

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  8. If A=[(0,1,-1),(2,1,3),(3,2,1)] then [A(adjA)A^(-1)]A=

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  9. If A=[(1^(2),2^(2),3^(2)),(2^(2),3^(2),4^(2)),(3^(2),4^(2),5^(2))] the...

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  10. If 3A=[(1,2,2),(2,1,-2),(-2,2,-1)] then A^(-1)=

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  11. If A is non - singular and A^(2)-5A+7I=0 then I =

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  12. If A is non Singular and (A-2I)(A-4I)=0 then 1/6A+4/3A^(-1)=

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  13. A square nonsingular matrix satisfies A^(2)-A+2I=0 then A^(-1)=

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  14. If A!=A^(2)=I then |I+A|=

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  15. If A is a 3xx3 matrix and B is its Adjoint matrix. If the determinent ...

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  16. If A is 4xx4 matrix and |2A|=64,B="Adj A" then |"Adj B"|=

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  17. If A!=I is an idempotent matrix, then A is a

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  18. If A is an orthogonal matrix then |A| is

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  19. If A and B are two square matrices such that B=-A^(-1)BA then (A+B)^(2...

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  20. The value of a third order determinant is 11 then the value of the squ...

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