A homogenous system of equations has an infinite number of solutions if and only if the determinant of the coefficient matrix is 0.
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