determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. 1 h -5 2 -8 6 above is the matrix please show all work Solution given augmented matrix is consistent iff det of 1 h 2 -8 is not zero => -8-2h != 0 => h != -4 h not equal to -4.

1. determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear
system. 1 h -5 2 -8 6 above is the matrix please show all work
Solution
given augmented matrix is consistent iff
det of
1 h
2 -8
is not zero
=> -8-2h != 0 => h != -4
h not equal to -4