Question

The sum of three number is 2,twice the second number is added to the sum of first and third ,we get 1. On adding the sum of second and third numbers to five times the first ,we get 6.find the three numbers by using matrices.

Answer 1

Answer:

let three numbers be x,y,z

given

x+y+z=2

x+2y+z=1

5x+y+z=6

Matrix form is

1 1 1 2

1 2 1 = 1

5 1 1 6

by camera method

∆=-4

∆1=-4

∆2=4

∆3=-8

therefore

x=∆1/∆=1

y=∆2/∆=-1

z=∆3/∆=2