These rotations remind me of some of the concepts illustrated by the SVD decomposition. See slide 5 on https://eecs189.org/docs/lec13.pdf, where a base unit vector gets stretched and rotated along some axes. Those transformations are also represented by the matrices we see in these slides!
jerrymby
The fact that a rotation matrix is an orthogonal matrix can be pretty handy. We can simply take the transpose as it's inverse, which can save us a lot of time when we are working with rotation matrices.
llejj
One cool thing about orthogonal matrices is they don't stretch or squish space
These rotations remind me of some of the concepts illustrated by the SVD decomposition. See slide 5 on https://eecs189.org/docs/lec13.pdf, where a base unit vector gets stretched and rotated along some axes. Those transformations are also represented by the matrices we see in these slides!
The fact that a rotation matrix is an orthogonal matrix can be pretty handy. We can simply take the transpose as it's inverse, which can save us a lot of time when we are working with rotation matrices.
One cool thing about orthogonal matrices is they don't stretch or squish space