For which values of h and k does the system have a) no solution, b) a unique solution, c) many
solutions. x1 + hx2 = 2 4x1 + 8x2 = k
Solution
determinant = 1 h 4 8 = 8 - 4h = 0 h = 2 and determinant 1 2 4 k k - 8 not equal
to 0 hence k cannot be 8 hence h = 2 and k can be any other number but not 8.
For which values of h and k does the system have a) no solution, b) a.pdf
1. For which values of h and k does the system have a) no solution, b) a unique solution, c) many
solutions. x1 + hx2 = 2 4x1 + 8x2 = k
Solution
determinant = 1 h 4 8 = 8 - 4h = 0 h = 2 and determinant 1 2 4 k k - 8 not equal
to 0 hence k cannot be 8 hence h = 2 and k can be any other number but not 8
