MATH 217-4, MAPLE HOMEWORK #1
First, lets start with a little notation. A matrix has size 4 ×5 if it has 4 rows and 5 columns.
Generally speaking, a matrix has size m×nif it has mrows and ncolumns.
We want to introduce how to enter matrices into Maple.
Open up Maple, and enter the following code.
with(LinearAlgebra);
with(Student[LinearAlgebra]);
This loads the linear algebra package into Maple. Let’s create a (coefficient) matrix. There are
several ways to go about doing this. Try entering all of the following lines and see what happens.
M := Matrix([[1, 2, 3], [4, 5, 6], [7,8,10]]);
N := Matrix(1,4);
L := Matrix(3,2);
L[1,2] := 2;
L[2,1] := 5;
L[3,2] := -1;
L;
K := RandomMatrix(3,4);
One often thinks of a matrix Mas a list of rows (or sometimes column) vectors. A column vector
is a vertical vector. A row vector is a horizontal vector. We create vectors in Maple by doing the
following.
v := Vector([1,2,3]);
w := Matrix(3,1);
u :=<4,2,1>;
We can then turn these vectors into a matrix as follows
P := <u|v|w>;
R :=<M|u>;
If we want to create row vectors, we can do the following (note we can also combine them into
a matrix)
a := Vector[row]([1,2,3]);
b := Matrix(1,3);
b[1,2] := 8;
c :=<1|0|1>;
Q :=<a,b,c>;
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