Recent content by Jtechguy21

thanks for your help Shyan Using that system I was able to solve my problem :)

Homework Statement Find a 2X2 matrix that has all non-zero entries where 3 is an eigenvalue Homework EquationsThe Attempt at a Solution well since the 2x2 matrix cannot be triangular, it makes things harder for me. I have no idea where to start. I am not given any eigenvectors either. It seems...

thanks for your input. I had a feeling that's exactly what it meant, but sometimes i doubt my self with these kind of things. and when I was trying to understand the problem I figured there was more than one answer(you confirmed it) When you refer to x, does that mean the column vector with...

Sounds interesting. Unfortunately we have not covered this yet(2nd week in) but I am watching a youtube videos to see how this "Killing" things works.

Thanks for explaining that to me.

We haven't learned about tranpose yet in class(but i just briefly looked it up right now) What is the purpose of taking the transpose of the the column vector 1 2 3 in this case? So I find this A= 3x3 matrix that when I multiply it by any column vector(x,y,z) the ouput does not equal r<1,2,3>T...

Homework Statement Find a non zero matrix(3x3) that does not have in its range. Make sure your matrix does as it should.The Attempt at a Solution [/B] I know a range is a set of output vectors, Can anyone help me clarify the question? I'm just not sure specifically what its asking of me, in...

Nevermind I just figured it out. thanks for your help with adding to my knowledge/intuition with that statement about defining a matrix actions. !(took me long enough) The 2x2 matrix i came up with was the following.

How is that even possible? 1] I found a 2x2 matrix we'll call A that when you multiply it by e1 = e2 2] I also found a 2x2 matrix B that when you multiply it by e2 =e1 But how is it possible to satisfy both conditions at the same time with the same 2x2 matrix? Any hints?

Thanks again. When i find the 2 these two matrixes that perform these two operations. When I multiply them together the result should be the 2x2 matrix that this question is asking for?

thanks. So If i understand from your clarification, This 2x2 matrix that I'm looking for, when I multiply it by e1 it will give me e2, and vice-versa, this unknown matrix multipled by e2 will give me the result e1.

Homework Statement [/B]Find the matrix that performs the operation 2x2 Matrix which sends e1→e2 and e2→e1Homework EquationsThe Attempt at a Solution [/B] I know e1 = < 1 , 0> and e2 = <0 , 1> Basically I'm not quite sure what the question is asking. This is the one of the problems I am...

yeah that's what i meant to write. thanks for being patient with me and explaining it to me. Im using all my free time to study for my linear class(first time taking it), because i want to do very well in it since its 8 week course instead of 16. I saw your post about the trig way , looks...

Looks easy enough, I understand the intuition behind your answer, and why you chose arbitrary variables to represent the position it rotated to. But my main concern is where did (0,1) and (1,0) come from? x = (0,1) and y =(1,0) ?

thanks for explaining that to me, it makes better sense.How do i approach this problem since I don't know what x or y is in vector v?