the sum of three numbers is 2 if we subtract the second number from twice the first number,we get 3 - Maths - Determinants

Question

the sum of three numbers is 2 if we subtract the second number from
twice the first number,we get 3 by adding double the second number
and the third number we get 0 represent it algebraically and find
the numbers using matrix method

Rishabh Mittal · Accepted Answer

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=1≠0Adj 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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the sum of three numbers is 2.if we subtract the second number from twice the first number,we get 3.by adding double the second number and the third number we get 0.represent it algebraically and find the numbers using matrix method.