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Let A be an invertible matrix, then whic...

Let A be an invertible matrix, then which of the following is not true?

A

`A^(-1)=|A|^(-1)`

B

`(A^(2))^(-1)=(A^(-1))^(2)`

C

`(A')^(-1)=(A^(-1))`

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)
  1. If I(3) is the identity matrix of order 3 order (I(3))^(-1) is equal ...

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  2. If ((1,2,3))A=((4,5)), what is the order of matrix A?

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  3. Let A be an invertible matrix, then which of the following is not true...

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  4. If A=[(ab,b^(2)),(-a^(2),-ab)] then A is

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  5. If A=[(3,0,0),(0,2,0),(0,0,1)] then A is

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  6. Let A=[(1,1,3),(5,2,6),(-2,-1,-3)] then A is

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  7. The matrix [(0,5,-7),(-5,0,11),(7,-11,0)] is

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  8. If A and B symmetric matrices of the same order then AB-BA is a matrix...

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  9. If A=[(0,-1,-4),(1,0,-7),(4,7,0)] then A^(T)=

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  10. If A=[(a,p),(b,q),(c,r)](3xx2) then Det ("AA"^(T)) is equal to

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  11. If A=[{:(cos alpha, sin alpha),(-sin alpha, cos alpha):}], then what i...

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  12. If A=[(-1,-2,-2),(2,1,-2),(2,-2,1)] the adj. A=

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  13. If I(3) is identity matrix of order 3, then I(3)^(-1)=

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  14. From the matrix equation AB=AC we can conclude B=C provided the matrix...

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  15. If A and B are square matrices of order 3 such that |A|=-1,|B|=3, the ...

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  16. If reach element of a 3xx3 matrix is multiplied by 3, then the determi...

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  17. If B is a non singular matrix and A is a square matrix, the det(B^(-1)...

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  18. Matrix A(lamda)=[(lamda, lamda-1),(lamda-1,lamda)], lamda in N The v...

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

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

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