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For any matrix A, if A^(-1) exists then ...

For any matrix A, if `A^(-1)` exists then which of the following is not true ?

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
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  3. For any matrix A, if A^(-1) exists then which of the following is not ...

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  4. If a(1), a(2), a(3)…, a(n) are in G.P., then the value of the determin...

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  5. The value of the determinant |((10)!,(11)!,(12)!),((11)!,(12)!,(13)!),...

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  6. If C is the midpoint of AB and P is any point outside AB, then which o...

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  7. The position vectors of the points A, B, C are (hati-3hatj-5hatk),(2h...

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  8. If N be the set of natural numbers and and N(a)={an :n in N} then N(5)...

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  9. If the function f: R to R is defined by f(x)=x^(2)-6x-14, then f^(-1)(...

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  10. Let f:R to R be defined by f(x)=x^(2) and g:R to R be defined by g(...

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  11. If f:R to S is defined by f(x)=sinx-sqrt(3)cosx+1 is onto, then the in...

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  12. If (x^(3))/((2x-1) (x+2) (x-3))=A+ (B)/(2x-1) +(C )/(x+2) + (D)/(x-3),...

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  13. The value of ["tan"^(-1)(m)/(n)-tan^(-1)((m-n)/(m+n))] is -

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  14. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2), then then the value of (x...

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