- #1
DWill
- 70
- 0
Homework Statement
Find the kernel of the matrix transformation given by f(x) = Ax, where
A =
1 -1 0
0 1 -2
(it's a matrix)
Homework Equations
Kernel is the set x in R^n for f(x) = Ax = 0
The Attempt at a Solution
I set up the problem like this:
[
X1
X2 * A = 0
X3
]
Just multiplying the matrices I get:
X1 - X2 = 0
X2 - 2X3 = 0
I think I'm missing something really simple but I'm stuck on what to do now in solving the system of equations for X1, X2, X3. Any hints, suggestions, or corrections? thanks