Find the sum of all values of constant such that there exists non-zero solutions (i.e and ) to the following equations:
Let and be defined as follows for real numbers and
If the following holds for distinct numbers and what is
Consider the system of linear equations where and are constants. If this system has an infinite number of solutions, what is the value of ?
Let and be the solution of the simultaneous equations and If , what is the value of the constant ?
If and are the solutions of the simultaneous equations what is the value of ?