Vadim Yakovlev's Linear Algebra I Page: Maple Exercise 4

		Linear Algebra I Section E01, E'00		Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 Back to Maple Exercises

Maple Exercise No 4 VECTOR SPACES

A. Relevant Maple Commands

In order to solve the problems included in this exercise, you in fact need to know none new Maple commands. The essential point here is following the practical procedures analyzed in class and described in the text.

You may find, however, helpful the use of the following commands. To define a vector, it is necessarily to use the matrix command and set up the number of columns/rows equal 1. The command vector allows one to specify a vector directly; for example:

> vector([1,4,7,10]);

There is a command which reduces the given matrix to reduced row echelon form. Its syntax is clearly seen from the following example:

> rref(am);

where am is a matrix with respect to which the transformation is performed.

A reminder: to make Maple return a particular element of a matrix, it is enough to type the Maple name of the matrix with two numbers indicating the position of the entry in the matrix (row and column):

> mm[2,5];

In order to return a particular column of matrix Q, one may use the command col. Its syntax is obviously seen form the following example:

> col(Q,2);