Question

Write a matrix to represent the system. 2a-3b=6 a+b=12

Answer 1

`\begin{bmatrix}2&-3&6\\1&1&12\end{bmatrix}`

Explanation:

The given system of equations is

2a-3b=6

a+b=12

In the first column of the matrix, we write the coefficient of a.

In the second column of the matrix, we write the coefficient of b.

In the third column of the matrix, we write the constant terms.

Coefficients of a are 2 and 1 which is in the first column.

Coefficients of b are -3 and 1 which is in the second column.

And constants are 6 and 12 which will be in third column

Thus, the Augmented matrix is given by

`\begin{bmatrix}2&-3&6\\1&1&12\end{bmatrix}`