Recent content by gtse

Need some clarification myself as well: An orthogonal set is not always linearly independent because you could have a 0 vector in it, which would make the set dependent. But an orthonormal set must contain vectors that are all orthogonal to each other AND have length of 1, which the 0 vector...

I can suggest that for the second one that you transpose both sides and use the A(transposed) = -A property so that x(transpose)*A*x = 0 = -(x(tranpose)*A*x) so those two can equal 0 if and only if A is 0

Homework Statement This isn't really a question in particular. I am doing my first Differential Equations course, and in the complex eigenvalues part, I am getting confused as to how to find the eigenvectors. Example: Solve for the general solution of: x' = (1 -1)x (don't know how to...