Determine the value of ℎ such that the matrix is the augmented matrix of a consistent linear system.

Question

Determine the value of h such that the matrix is the augmented matrix of a consistent linear system.

| 6 -7 | h |

| -12 14 | 5 |

h=

Answer 1

If you add 2 times row 1 to row 2

| 6 -7 | h |

| 0 0 |5+2h |

From the last row, 5+2h = 0 --> h = -2.5