> with(linalg):

1. Define a matrix.
> A:=matrix([[1,2],[3,4]]);

2. Obtain the determinant of the matrix.
> det(A);

3. Find the adjoint of the matrix.
> adj(A);

4. Find the transpose of the matrix.
> transpose(A);

5. Find the inverse of the matrix.
> inverse(A);

> evalf(%);

>

6. Find the minor of an element.
> minor(A,1,2);

7. Define another matrix.
> B:=matrix([[3,0],[4,6]]);

8. Addition of matrices
> C:=matadd(A,B);

9. Matrix multiplication
> E:=multiply(A,B);