Homework Statement
It rains on 10.3 days in the town in October on average. Let X denote the number of days in October on which it rains. Assume that rain falling on different days can be treated as independent events. (31 days in October).
Write down an expression for the probability that it...
Ahh the transformation changes (1,0) to (0,1) hence the x and y value swaps at this point and therefore a rotation about the origin by 90 degrees.
I believe I am right here, thanks very much!
Ok so I will say it is a rotation about the origin or point by 180 degrees.
I suspect it is 180 degrees, but maybe I'm looking at it wrong and it is only 90 degrees.
Hmm I'm kind of confused now, because it is 2D I thought we were only dealing with a x and y axis.
So now the rotation is about the z-axis, but again not sure how to describe how much of a rotation.
I tried out some points and generally understand what the transformation is doing, just can't...
Of course you can! I believe it is a rotation about the x-axis, but as far as how much I'm not completely sure how to say. If I was to guess I'd say a rotation of 180 degrees about the x-axis.
Sorry about that, my mistake. I'm just horrible at mathematical explanations.
The linear transformation T causes a rotation for each vector. Is this generally a good sort of explanation for such findings?
Hi tiny-tim, thanks for that.
I drew the lines on a graph and I think this is the effect (and this would be a much better explanation then my previous one);
The linear transformation T reflects the line or each point through the x axis.
Hopefully I'm right, thanks again! :)
Homework Statement
Hi! I just used MATLAB to find the eigenvalues and eigenvectors of A=[0 -1; 1 0]
I obtained the eigenvalues of 0 +/- i
and eigenvectors of v(1) = [ 0.7071; 0 - 0.7071i] and v(2) = [ 0.7071; 0 + 0.7071i]
Homework Equations
I'm having trouble interpreting these results in...
Hi everyone, this is my first post but I've been reading through the forum for a quite sometime now. I've recently began trying to do some difference equations, for the most I've been doing good, but just a few things have puzzled me.
I have two questions relating to the particular solutions of...