Hi guys,

I am unable to get the answer to the following question: Find all the values of (x,y,z) which satisfy:

if (p,q,r) satisfies

So, we have:

detA = 7(-1) -2(-2) + 4(1) = 1. So it has an inverse. I used two methods to calculate the inverse, the adjoint and row reduction. Both gave the same result:

which gives:

The second matrix B is singular i.e.

But we have the following relationships:

I messed around and got:

p = 7x + 2y + 4z

q = 4x + y + 2z

r = 3x + y + z

but this doesn't help. The answers are given in terms of

Am I missing something here?