Solving the linear system, we obtain all the solutions. For example, is a non zero solution.
Given the matrix , I've to find a vector x, such that Ax = x.
I'm not quite sure what's the best way of solving a question like this, I can try some values that could be correct, doing some half educated guesses, but that just seems clumsy and slow. Any tips?
I think I still don't understand right, if Ax=x, then if x = (3, 1, -2), then:
What am I missing here? Why do you let the equations be 0? According to my textbook the answer (a answer?) should be . I see how this is a solution:
I know how to solve a system of equations, but I don't get this...