Use matrices to determine the solution to this system of equations of three planes:
pi1 = 2x - y + z = -3
pi2 = x + y - 2z = 1
pi3 = 5x + 2y - 5z = 0
is this system consistent, inconsistent, or neither?
is this system independent, dependent, or neither?
is the solution a point, a line, a plane, or is there no solution?
(2 -1 1)
(1 1 -2)
(5 2 -5)
The system is consistent and independent if |A| ± 0
If consistent, the solution is a point
If dependent, the solution is a line
