Plug in ...
Therefore, if , then is also a solution to .
then repeat the process of the second equation. This process can be done more quickly if you use matrix notation:
is a solution to
so, if we test ...
therefore is also a solution to
I'm stuck on how to begin this problem...
Let (c1, c2) be a solution to the 2x2 system
A11X1 + A12X2 = 0
A21X1 + A22X2 = 0
Show that for any real number alpha (a) the ordered pair (ac1, ac2) is also a solution.