Respuesta :
The augmented matrix for given system of linear equation is [tex]\left[\begin{array}{ccc}3&-4 & 12\\2&-8 & 16\end{array}\right][/tex]. It has got 2 rows.
What is augmented matrix?
The word augment means to extend something to make it more rich.
When two matrices are jointly written as a single matrix, then that final matrix is called augmented matrix.
We usually use augmented matrix to do row and column operations faster to reach to the solution of considered system of equation.
The given system of linear equation is
[tex]3x - 4y = 12\\2x - 8y = 16[/tex]
Converting this system of equation in matrix equation, we get:
[tex]\left[\begin{array}{cc}3&-4\\2&-8\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}12\\16\end{array}\right][/tex]
The augmented matrix for this equation is
[tex]\left[\begin{array}{ccc}3&-4 & 12\\2&-8 & 16\end{array}\right][/tex]
It has 2 rows, and 3 columns. And thus, 6 elements. (2 times 3 = 6, as each row has 3 elements).
Learn more here about augmented matrix here:
https://brainly.com/question/10285790
Answer:
below- for the 2nd part in [matrice] together
Step-by-step explanation:
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? 2
How many columns does your matrix have? 3
[3,-4,12]
[2,-8,16]
Does your matrix look like the one above? Check all that apply.
My matrix is the same size.
My matrix has the same values for each corresponding element.
