Question

Three numbers are such that the sum of first and third is 2 more than second. Twice the first is second and twice the second is one more than the third. Find the three numbers using matrix method

Answer 1

Answer:

ANSWER

Let the three numbers be x,y and z

According to the question,

x+y+z=2

x+2y+z=1

5x+y+z=6

The given system of equations can be written in matrix form as follows:

⎣⎢⎢⎡115121111⎦⎥⎥⎤⎣⎢⎢⎡xyz⎦⎥⎥⎤=⎣⎢⎢⎡216⎦⎥⎥⎤

AX=B

Here A=⎣⎢⎢⎡115121111⎦⎥⎥⎤,X=⎣⎢⎢⎡xyz⎦⎥⎥⎤ and B=⎣⎢