Question

(1 point) Determine the value of h such that the matrix is the augmented matrix of a consistent linear system. 3 -2 h -9 69

Answer 1

augmented matrix is

$\begin{pmatrix}3&-2&h\\ -9&6&9\end{pmatrix}$

$R_1\:\leftrightarrow \:R_2$

-9 6 9 3 -2h 4

$R_2\:\leftarrow \:R_2+\frac{1}{3}\cdot \:R_1$

00 23)

when h+3=0 then system is consistent

$h+3=0$

${\color{Red} h=-3}$...........value of h then system is consistent