What is the logic in stacking the rotation matrices for (1, 0) and (0, 1) side to side to make the rotation matrix? Mathematically, it makes sense because it gives the correct rotation matrix but don't get intuition.
heethesh
I think it denotes where these basis unit vectors (1, 0) and (0, 1) would land after the rotation is applied. Pi/2 addition makes sense since they have to remain orthogonal to each other.
What is the logic in stacking the rotation matrices for (1, 0) and (0, 1) side to side to make the rotation matrix? Mathematically, it makes sense because it gives the correct rotation matrix but don't get intuition.
I think it denotes where these basis unit vectors (1, 0) and (0, 1) would land after the rotation is applied. Pi/2 addition makes sense since they have to remain orthogonal to each other.