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Answer with explanation:
The two equation which we have to represent in terms of Augmented Matrix is:
1. 3 x - 4 y = 12
2. 2 x - 8 y = 16
So, Writing in terms of Augmented Matrix
[tex]\left[\begin{array}{ccc}3&-4&12\\2&-8&16\end{array}\right][/tex]
Number of Rows in the Augmented Matrix =2 →(Horizontal Segment)
Number of Columns in the Augmented Matrix =3 →(Vertical Segment)
The number of rows is 2, while the number of columns is 3
The system of linear equation is given as:
- 3x - 4y = 12
- 2 x - 8y = 16
The number of rows represents the number of equations in the system, while the number of columns represents the number of terms in each equation
So, the augmented matrix is:
[tex]\left[\begin{array}{ccc}3&-4&12\\2&-8&16\end{array}\right] [/tex]
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