How to solve matrix as a function

I know this is simple for some, but I need a hand. I am learning this as I go with no assistance.

If I have three known variables, or 3x1 matrix Theta. I know m=cosd(Theta), and n=sind(Theta), and I want to solve another matrix T for each of the three Theta, how would you code this?

Ex: T = [m^2,n^2,2mn; n^2,m^2,-2mn; m,n,m^2n^2]

How can I enter this in and get three separate T matrices as my output? Thanks!

Answer 1

[Benjamin Schwabe]

What does m^2 mean? It's a vecor, isn't it? Componentwise operation? Or is it a real vecor-vectormultiplication resulting in a single number?

[Josh]

m^2 is m squared, which will be a number in row1, column1. Likewise, n^2 is in row 1, column2, and so on. m=cosd(Theta). I am just trying to find the code where I can solve for all Thetas at once.

Answer 2

[Walter Roberson]

Addressing "get three separate T matrices as my output":

http://matlab.wikia.com/wiki/FAQ#How_can_I_create_variables_A1.2C_A2.2C....2CA10_in_a_loop.3F

Answer 3

[Andrei Bobrov]

m = reshape(cosd(Theta),1,1,[])
mq = m.^2;
nq = 1 - mq;
n = sqrt(nq);
mn = 2*m.*n;
T = [mq, nq, mn; nq,mq,-mn; m,n,mq.*nq]