Linear Algebra: Consider a system of the following form....

G

Guest

Guest
hi... im taking linear algebra and im confused :-/

One of problems is this
Consider a system of the form a11*x1 + a12*x2 =0
a21*x1 + a22*x2=0

Those numbers should be subscripts..

A ij (subscript ij) is constant. Explain why there must be a solution..

Isn't this the nullmatrix? So there must be a solution? I'm confused. . .

Here's another one im confused on...

Find non-zero matrices A B and C such that AC = BC and A is not equal to B. I pickied a random Matrix C and then tried finding different a's and b's but it didn't work.. Is there another way to solve it?

Thank you guys SO much !
 
I'm not going to attempt for a general solution, but I just picked a few numbers and found one relatively quickly.

Hint:
If B =
[-4 2]
[12 -2]
and C =
[2 12]
[8 2]

There is an A here that satisfies AB=AC. Can you find it?

And for your other question.. there is always a single solution that works for a homogeneous system of equations. It shouldn't be too hard to figure out, or even find in your text.
 
You must log in or register to reply here.
Top