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If A=[{:(sinalpha,-cosalpha,0),(cosalpha...

If `A=[{:(sinalpha,-cosalpha,0),(cosalpha,sinalpha,0),(0,0,1):}]` then `A^(-1)` is equal to

A

`A^1`

B

`A`

C

adj A

D

`A^2`

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The correct Answer is:
C
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AAKASH INSTITUTE ENGLISH-DETERMINANTS -SECTION - B
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  4. If A is a matrix of order 3 and |A|=8 , then |a d j\ A|= (a) 1 (b)...

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  6. If Delta1=|{:(10,4,3),(17,7,4),(4,-5,7):}|,Delta2=|{:(4,x+5,3),(7,x+12...

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  7. The value of |{:(x,x^2-yz,1),(y,y^2-zx,1),(z,z^2-xy,1):}| is

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  8. The value of |(i^m,i^(m+1),i^(m+2)),(i^(m+5),i^(m+4),i^(m+3)),(i^(m+6...

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  9. The value of the determinant |(-(2^5 + 1)^2,2^10 -1,1/(2^5-1)),(2^10...

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  10. when the determinant |{:(cos2x,,sin^(2)x,,cos4x),(sin^(2)x,,cos2x,,co...

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  11. if alpha,beta,gamma are non-real numbers satisfying x^3-1=0, then the ...

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  12. The value of sum(n=1)^(N) Un=|{:(n,1,5),(n^2,2N+1,2N+1),(n^3,3N^2,3N):...

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  13. if a,b,c are positive and are the pth qth and rth terms respectively ...

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  14. Let a , b and c be positive and not all equal. Show that the va...

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  15. The greatest value of x satisfying the equation |(2^11-x,-2^12,2^11),...

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  16. The system of equations ax + 4y + z = 0,bx + 3y + z = 0, cx + 2y + z =...

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  17. Let A=[(0,0,-1),(0,-1,0),(-1,0,0)] Then only correct statement about t...

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  18. find the larget value of a third- order determinant whose elements a...

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  19. If |{:(,x^(k),x^(k+2),x^(k+3)),(,y^(k),y^(k+2),y^(k+3)),(,z^(k),z^(k+2...

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  20. If all elements of a third order determinant are equal to 1 or -1. the...

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