Question

Using matrix method, solve the following system of equations:

2/x+3/y+10/z=4, 4/x-6/y+5/z=1, 6/x+9/y-20/z=2;x,y,z≠0

Answer 1

Let 1/x=u,1/y=v,1/z=w

Now the given system of linear equation may be written as

2u + 3v + 10w = 4, 4u - 6v + 5w = 1 and 6u + 9v - 20w = 2

Above system of equation can be written in matrix form as
AX = B  => X = A^-1B …(i)