Robot Arm Matrix Setup

Robot Arm Matrix Setup

It would be good to work with you on this problem because it was challenging problem before, and many students were uncertain how to approach it. In addition, it is a part of our theme of matrices. The fact that mathematical expressions that are matrices keep coming up in various problems that don’t sound related to each other should make us think about how such expressions might be used. Here we can think of matrice. Because it is equal to some number times delta I plus some number times delta theta.

And this right over here is 0 times delta L plus some number times delta theta. So we can rewrite our formula as follows. It’s the matrix times delta L, times delta theta. The result gives us delta x, delta y. Take a moment now and try to fill in that matrix before you know the answer. Rewrite (ΔL Δθ)(Δx Δy)