Question

Determine all values of h and k for which the linear system has no solution.


-6x+5y-6z=6

-8x+9y+3z=4

-26x+31y+hz=k



The linear system has no solution if k≠ ?

and h = ?

Answer 1

no solution if the determinant is zero.
|-6 5 -6|
|-8 9 3| = 0
|-26 31 h|