1.

Solve the following : [[x,a,a],[m,m,m],[b,x,b]]=0

Answer»

SOLUTION :`[[X,a,a],[m,m,m],[B,x,b]]`=0
`rArr m[[x,a,a],[1,1,1],[b,x,b]]`=0
`rArr m[[x-a,0,a],[0,0,1],[0,x-b,b]]`=0
(REPLACING `C_1` and`C_2` by `C_1-C_2` and `C_2-C_3` RESPECTIVELY)
`rArr mabs((x-a)(-x+b))`=0
`rArr m(x-a)(b-x)=0 rArr x=a,b`


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