Answer:
C) option is correct.
Explanation:
Given : 4x + 2y - 4 and 12x -y - 26.
To find : Which matrix represents the system of equations shown below.
Solution : We have given 
4x + 2y - 4 = 0
12x -y - 26 = 0
Expressing Systems of Equations as Matrices:
ax +by = α
cx +dy = β 
Can be represent in matrices as 
![\left[\begin{array}{ab}a&b\\c&d\end{array}\right] * \left[\begin{array}{ab}x\\y\end{array}\right] =  \left[\begin{array}{ab}\alpha \\\beta \end{array}\right]](https://img.qammunity.org/2018/formulas/mathematics/high-school/7usar5f6jtzixalkrp9laooixrhqy5oj48.png) .
.
Then,
On comparison matrix would be 
![\left[\begin{array}{ccc}4x&2y\\12x&-y\\\end{array}\right]\left[\begin{array}{ccc}4\\26\\\end{array}\right]](https://img.qammunity.org/2018/formulas/mathematics/high-school/moglnafxh19doxhp25zmacdekce3g09t7h.png) .
.
Therefore, C) option is correct.