Lab II Matrices

1. Do (1) Help, Resources, Physics, Vectors and (2) Help, Tour, matrices

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

1-9

(Hints: use with(Physics[Vectors]): Setup(mathematicalnotation = true):

Vectors can be given defined as

Magnitude is Norm; Dot product is just a period; Cross product is &x)

1-10

(Hints: assume b,w, t to be real. You may use the following commands: VectorDiff(rad,t), V:= unapply(v,t)).

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

(Hints, assume all componenets are real. This time use restart;

Setup(mathematicalnotation = true);

with(LinearAlgebra);

with(Physics[Vectors]);

You may use the following commands: Determinant).

1-14 parts a and d only

(Hints: You may use the commands: Transpose, AB:= Multiply(A,B);).

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.