the sum of three numbers is 2.if we subtract the second number from twice the first number,we get adding double the second number and the third number we get 0.represent it algebraically and find the numbers using matrix method.

Dear Student ,
Please find below the solution to the asked query :

Let the three numbers be x , y and z .So ,x+y+z=2   ...12x-y=3    ...22y+z=0    ...3Now ,Corresponding matrix equation is1112-10021 xyz=230i.e AX=BIts solution is X=A-1BA=1-1-0-12-0+14-0=-1-2+4=10Adj A=-111-2124-2-3A-1=1A adj A=11 -111-2124-2-3=-111-2124-2-3X=-111-2124-2-3230xyz=-2+3+0-4+3+08-6+0=1-12So , x=1 , y=-1 , z=2 .Numbers are 1 , -1 and 2 .
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