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Find the incorrect pair of statements : ...

Find the incorrect pair of statements :
(i) Two matrices A and B of same order are equivalent if `rho(A)=rho(B)`
(ii) `|adj A|=|A|^(n-1)` where n is the order of the matrix.
(iii) `A(adj A)=|A|^(2)I`
(iv) If A and B are two square matrices of order 3 than AB = BA.

A

(i) and (ii)

B

(iii) and (iv)

C

(i) and (iii)

D

(ii) and (iv)

Text Solution

Verified by Experts

The correct Answer is:
B
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PREMIERS PUBLISHERS-APPLICATIONS OF MATRICES AND DETERMINANTS -PROBLEMS FOR PRACTICE (I. Choose the correct answer)
  1. Match the following :

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  2. Find the incorrect statement in the following :

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  3. Find the incorrect statement in the following :

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  4. Find the correct statement :

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  5. Find the odd one out :

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  6. Find the odd one out : If A=|[3,7],[4,9]| then its inverse is :

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  7. If A is a matrix of order (2xx3) then A^(-1) will be :

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  8. Two matrices A and B equivalent. Find which is correct :

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  9. If A=|[0,1,a],[1,a,0],[a,0,1]| is invertible matrix then a ne :

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  10. If the system lambda x + 2y = mu and 7x+2y=5 have many solution is :

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  11. The rank of [[1,2,3],[4,5,6]] is :

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  12. Find the correct statement in the following :

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  13. Which of the following is not an elementary transformation ?

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  14. In a system equations if Delta = 0, then which of the following is tru...

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  15. Which one of the following is the Echelon form :

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  16. The inverse of A=[[cos theta, sin theta],[-sin theta,cos theta]] is :

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  17. Find the correct pair from the following (i) In a system of equat...

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  18. Find the odd one out :

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  19. Find the incorrect pair of statements : (i) Two matrices A and B...

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  20. Assertion : A matrix A is orthogonal if and only if A is non singular ...

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