A homogenous system of equations has an infinite number of solutions if and only if the determinant of the coefficient matrix is 0.
Solve
Hi I'm trying to work out this question - its in the matrices section. Any help would be appreciated! thanks.
2. Determine the values of x for which the system of equations below has a non-trivial solution:
xc1 + c2 + c3 + c4 = 0
c1 + xc2 + c4 = 0
c1 + xc3 + c4 = 0
c1 + c2 + c3 + xc4 = 0