Using MATLAB

By considering random matrices of appropriate sizes, find empirical evidence that substantiates the following statements. (In this part, m and n are both integers and both are greater than 6, so 7 or larger).

(a) A system of n linear equations in n unknowns typically has a unique solution.

(b) A system of m linear equations in n unknowns, where m > n, typically has no solution.

(c) A system of m linear equations in n unknowns, where m < n, typically has many solutions.

Give examples of exceptions for each case (but for this part, you can use integers m and n that need only be larger than 2, so 3 or larger).