Lab II Matrices

1. Do the Help, Manuals, Applications and Examples, Mathematics, Vector Calculus

2. Do the following problems in classical dynamics by Marion and Thornton using Maple:

1-9

(Hints: load linalg, you may use the following commands: vector, matadd, dotprod, evalf, sqrt, arccos, angle, crossprod).

1-10

(Hints: assume b,w, t to be real. You may use the following commands: map, diff, unapply).

1-11 - first part [Just demonstrate that the first equation that are written out are correct.]

(Hints, assume all componenets are real. You may use the following commands: matrix, det, dotprod(crossprod(A,B),C).

1-14 parts a and d only

(Hints: You may use the commands: transpose, multiply).

IV Find the gradient of cos(x) + sin(z).

IV Let A = sin(x) i + cos(z) j + e^x k. Find the divergence and curl of A.