# Thread: Determine the value to create an augmented matrix

1. ## Determine the value to create an augmented matrix

Determine the value of h such that the matrix is the augmented matrix of a linear system with infinitely many solutions.

6 -7 = 3
24 h = 12

h= ?

2. Originally Posted by B-lap
Determine the value of h such that the matrix is the augmented matrix of a linear system with infinitely many solutions.

6 -7 = 3
24 h = 12

h= ?
Since you have two equations (lines) and two unknowns. To have an infinite number of solutions that must be same line. I.e what value of h makes the 2nd row a multiple of the first.