Linear Algebra Powertool

BASIC MATRIX OPERATIONS

Worksheet by Russell Blyth

> with(linalg):

Warning, the protected names norm and trace have been redefined and unprotected

Enter some matrices

> A:=matrix([[1,-2],[0,3]]);

> B:=matrix([[-3,4],[2,1]]);

Try to add A and B:

> A+B;

Maple treats matrices like functions rather than like variables which have values. You have to "evaluate to a matrix" using the evalm command:

> evalm(A+B);

Scalar multiplication:

> evalm(2*B);

Solve a matrix equation:

> evalm(solve(3*X+A=B,X));

Matrix multiplication uses a new operator, &*

> evalm(A&*B);

A matrix can be transposed:

> transpose(A);

Individual entries can be extracted (and computed with):

> d:=A[1,2];

>

>