Home
Class 12
MATHS
It A is an invertible matrix, then which...

It A is an invertible matrix, then which of the following is not true.

A

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

B

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

C

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

D

`|A| ne 0`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (2 MARKS )|10 Videos

  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (3 MARKS )|10 Videos

  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (IV. Choose the odd man out : )|5 Videos

  • APPLICATION OF INTEGRATION

    SURA PUBLICATION|Exercise 5 MARKS|7 Videos

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|35 Videos

Similar Questions

Explore conceptually related problems

If A=[(a,b,c),(x,y,x),(p,q,r)], B=[(q,-b,y),(-p,a,-x),(r,-c,z)] and If A is invertible, then which of the following is not true ?

Which one of the following is not true?

Which one of the following is not true?

Which of the following is a true nut?

Which of the following is true?