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.

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 .
 
Hope this information will clear your doubts about the topic .
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible .

Regards

  • 11
What are you looking for?