ME 3143 Chapter : HW 2 Solution
Document Summary
Problem set 2 solution: maple is a package for doing symbolic (and numerical) mathematics. In this class we will use it for some linear algebra with symbolic state matrices. Type the following command to load the linear algebra library: with(linalg); This gives access to all linear algebra functions. A matrix, a, is defined using the following syntax: Compare this to the result obtained with the command charpoly(a,lambda). the eigenvals( a) command. Check your result by hand. to evaluate the. Find: use maple and hand calculations to (a) evaluate the characteristic polynomial and (b) the eigenvalues for the system represented by the state matrix. 0 (b) evaluate the characteristic polynomial for the state matrix, by evaluating !i " a : = 0 # !i " a = ! k m. Which is the same as obtained by hand, after a little reduction.
