I have an 2x2 matrix such that b (ad) where a,b,c,d lies in the x-y plane. I need to apply rotation matrices to rotate this matrix in the following manner. 1. The rotation is along the x axis by angle theta 2. The rotation is along the y axis by angle theta 3. The rotation is along the z axis by angle theta NOTE! Clearly state the theory to derive the rotation matrices for all the cases. State the rotation matrices and show with an example that it works for all cases.

I have an 2x2 matrix such that b (ad) where a,b,c,d lies in the x-y plane. I need to apply rotation matrices to rotate this matrix in the following manner. 1. The rotation is along the x axis by angle theta 2. The rotation is along the y axis by angle theta 3. The rotation is along the z axis by angle theta NOTE! Clearly state the theory to derive the rotation matrices for all the cases. State the rotation matrices and show with an example that it works for all cases.