Hi,
If you really need to store these matrices in MATLAB without an angle in mind, you may wish to use functions where the input argument is the angle and the output is the matrix.
For example, say you need the matrix
[sin \theta, cos \theta; -cos \theta, sin \theta]
You can do something like this:
function matrixOut = genMatrix (angle)
matrixOut = [sin(angle), cos(angle); -cos(angle), sin(angle)];
end
If you wish to store the matrix in the base workspace where the angle is just a symbol or variable in your workflow, then you may use the Symbolic Math Toolbox to help you:
Example:
>> syms x
>> myMatrix = [sin(x), cos(x); -cos(x), sin(x)]
myMatrix =
[ sin(x), cos(x)]
[ -cos(x), sin(x)]
>> B = inv(myMatrix)
B =
[ sin(x)/(cos(x)^2 + sin(x)^2), -cos(x)/(cos(x)^2 + sin(x)^2)]
[ cos(x)/(cos(x)^2 + sin(x)^2), sin(x)/(cos(x)^2 + sin(x)^2)]
