Solving matrix without values

Is it possible to solve matrix calculation without defining the Θ

i mean for derivation purpose i want to solve matrices without vlaues instead just sinΘ, cosΘ

so that i can get answer in sinΘ and cosΘ format

Answer 1

[John D'Errico]

Yes. Learn how to use the symbolic toolbox. If you don't have it, then you need it for this purpose.

syms theta real
A = [cos(theta), sin(theta);-sin(theta), cos(theta)] % simple rotation matrix

A = 

B = A'*A % this product should be the identity matrix

B = 

simplify(B)

ans = 

[Mujahid]

Thank you I understand now