1.

IfA = {: [ ( 4,2) , ( -1, x) ]:}and such that (A -2I) ( A -3 I) = 0 , find the value of x . (b) Give yourownexamples of matrices satisfyingthe followingconditionsin eachcase : (i) A and B such thatABneBA (ii) A and Bsuch thatAB = 0 = BA,A ne 0 and B ne 0 (iii) A and Bsuch thatAB = 0 andBA ne 0

Answer»


Answer :(a) X =1 ,
(b)(i)AB ` NE BA`
(ii) `B ne 0`
(iii)`BA ne 0`


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