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(i) If A and B are symmetric matrices of...

(i) If A and B are symmetric matrices of same order AB-BA is a skew symmetric matrix.
(ii)`[(1,-1,2),(5,7,2),(6,6,4)]` is a singular matrix
(iii)`(AB)^(-1)=A^(-1)B^(-1)`
(iv) If A`=((1,3),(0,1))` thus `A^(3)=((1,27),(0,1))`.State which option is correct.

A

(i) and (ii) are true

B

(i) and (iii) are true

C

(ii) and (iii) are true

D

(iii) and (iv) are true

Text Solution

Verified by Experts

The correct Answer is:
A
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PREMIERS PUBLISHERS-MATRICES AND DETERMINANTS-PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)
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  7. Find the correct statement:

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  13. If A=|(2,1),(1,2)|,B=|(2,4),(1,2)|then |AB| is

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  17. If A is a square matrix then find the odd man out:

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