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If A=[(a,b),(c,d)] such that ad-bc!=0, t...

If `A=[(a,b),(c,d)]` such that `ad-bc!=0`, then `A^(-1)` is equal to

A

`1/(ad-bc)[(d,b),(-c,a)]`

B

`[(d,-b),(-c,a)]`

C

`1(ad-bc)[(d,-b),(-c,a)]`

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 A is a square matrix such that |A|=2, then |A'|, where A' is transp...

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  3. If A=[(a,b),(c,d)] such that ad-bc!=0, then A^(-1) is equal to

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  4. Which of the following matrices is not invertible

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  5. The system of linear equations ax+by=0,cx+dy=0, has a non trivial solu...

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  6. If A=[(1,-6,2),(0,-1,5)] and B=[(2),(2),(1)] then AB equals

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  7. If A=[(1,0,0),(0,1,0),(0,0,1)] then A^(2)+2A equals

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

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  9. If [(alpha, beta),(gamma,-alpha)] is to be square root of the two rowe...

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  10. If A=[(a,b),(b,a)] and A^(2)=[(alpha, beta),(beta, alpha)]then (alpha,...

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  11. If A= (a(ij)) is a 4xx4 matrix and C(ij), is the co-factor of the ele...

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  12. If A is a square matrix such that A^(2)=A, then |A| equals

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  13. If A^(2)+A=I then A^(-1) is

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  14. If A^(2)-A+I=O then inverse of A is

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  15. The multiplicative inverse of A=[(cos theta,-sin theta),(sin theta, co...

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  16. The matrix A satisfying the equation [(1,3),(0,1)]A=[(1,1),(0,-1)] is

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  17. If A=BX and A=[(1,2),(3,-4)] and B is [(1,0),(0,2)] then X=

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  18. If a,b,c are non-zero real numbers, then the inverse of the matrix A=[...

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  19. If D=diag[d(1),d(2),…………..,d(n)] where d(i)!=0AAi=1,2,3,………..n then D^...

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  20. If A=[(3,4),(2,4)],B=[(-2,-2),(0,-2)] then (A+B)^(-1)=

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