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If A = {: [ ( 4,2) , ( -1, x) ]:} and ...

If ` A = {: [ ( 4,2) , ( -1, x) ]:}` and such that
(A -2I) ( A -3 I) = 0 , find the value of x .
(b) Give your own examples of matrices satisfying the following conditions in each case :
(i) A and B such that AB ` ne ` BA
(ii) A and B such that AB = 0 = BA, ` A ne 0 and B ne 0`
(iii) A and B such that AB = 0 and ` BA ne 0`

Text Solution

Verified by Experts

The correct Answer is:
(a) x =1 ,
(b) (i) AB ` ne BA`
(ii) ` B ne 0`
(iii)` BA ne 0`
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