# Math Help - Matrix

1. ## Matrix

$\\(a-2)x+2y+3z=-1\\\\y+z-w=0\\\\2(1+a)z+(1+a)w=3$

what a will give us:
1. One Solution
2. No solution at all.
3. Infinite Solutions

Thank you!

2. ## Re: Matrix

If any one of those equations is impossible there will be no solution. In particular, the last equation can be written (1+ a)(2z+ w)= 3. What happens if a= -1?

For other values of a, you have three equations in four unknown variables. There is NO value of a such that this has a unique solution.