1. Using the Symbolic Toolbox, express the determinant of the matrix as polynomial in and determine the values of for which −1 exists. 2. Use the Symbolic Math Toolbox to find the column space...

1. Using the Symbolic Toolbox, express the determinant of the matrix

as polynomial in

and determine the values of

for which

⁻¹
exists.

2. Use the Symbolic Math Toolbox to find the column space of each matrix in Problem 4.21.

3. Use MATLAB to compute the determinant of

Problem 4.21

Each matrix is singular. Verify this using the determinant, and apply the MATLAB command null to find the nullity of each. What is the rank of A and B?