Hey guys, I'm new to this forum so Hi to everyone. I have a few problems that I"m really having trouble with...I'll start with this one hopefully you guys can help me out.
I want to find an A mxn matrix such that f is linear:
Ax = F(x)
And what I've done:
(a11 a12) * x1 = f1(x)
(a21 a22) * x2 = f2(x)
(This is supposed to be Ax = b) a 2x2 times a 1x2 i just dont kno how to make matrices here)
x1 and x2 can be anything so set x2 = 0
a11*x1 = f1(x1)
a21*x1 = f1(x1)
My professor recommends I now solve for a11, a21 and then the others to construct the A matrix so that f is linear. I have no idea what to do! He says f(x1) can't be anything because it needs to be linear. Please help!