Answer:
Option c, A square matrix
Step-by-step explanation:
Given system of linear equations are
![3x-2y=-2\hfill(1)](https://tex.z-dn.net/?f=3x-2y%3D-2%5Chfill%281%29)
![7x+3y=26\hfill(2)](https://tex.z-dn.net/?f=7x%2B3y%3D26%5Chfill%282%29)
![-x-11y=46\hfill(3)](https://tex.z-dn.net/?f=-x-11y%3D46%5Chfill%283%29)
Now to find the type of matrix can be formed by using this system
of equations
From the given system of linear equations we can form a matrix
Let A be a matrix
A matrix can be written by
A=co-efficient of x of 1st linear equation co-efficient of y of 1st linear equation constant of 1st terms linear equation
co-efficient of x of 2st linear equation co-efficient of y of 2st linear equation constant of 2st terms linear equation
co-efficient of x of 3st linear equation co-efficient of y of 3st linear equation constant of 3st terms linear equation ![3\times 3](https://tex.z-dn.net/?f=3%5Ctimes%203)
which is a
matrix.
Therefore A can be written as
A= ![\left[\begin{array}{lll}3&-2&-2\\7&3&26\\-1&-11&46\end{array}\right] 3\times 3](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Blll%7D3%26-2%26-2%5C%5C7%263%2626%5C%5C-1%26-11%2646%5Cend%7Barray%7D%5Cright%5D%203%5Ctimes%203)
Matrix "A" is a
matrix so that it has 3 rows and 3 columns
A square matrix has equal rows and equal columns
Since matrix "A" has equal rows and columns Therefore it must be a square matrix
Therefore the given system of linear equation forms a square matrix