Use a piece of paper to create an augmented matrix to represent this linear system.

3x - 4y = 12

2x - 8y = 16


How many rows does your matrix have?



How many columns does your matrix have?

Respuesta :

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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