1. By considering the determinant of the coefficient matrix, find a relationship between and for which the following system has exactly one solution: 2. Use Cramer’s rule to solve the system 3. Show...

1. By considering the determinant of the coefficient matrix, find a relationship between

and

for which the following system has exactly one solution:

2. Use Cramer’s rule to solve the system

3. Show that

4. Find a

matrix consisting entirely of values

and

that has the largest possible determinant.