Perform row operations on the augmented matrix as far as necessary to determine whether the system is independent, dependent, or inconsistent. DO ALL WORK BY HAND.

x + 2y + 4z = 6
y + z = 1
x + 3y + 5z =10

If one subtracts the first equation from the last equation...the result is

y+z=4. That is inconsistent with
y+z=1

find the value(s) of h such that the matrix is the augmented matrix of a consistent linear system.
1x+hy=4
3x+6y=8

4

1 answer

-h=4
h=0