Question

Which is the correct coefficient matrix for this system? 3x + 4y = 12 - x - 6y = 10

Answer 1

The correct coefficient matrix for this system is given as follows.

Explanation:

In linear algebra, a coefficient matrix is a matrix consisting of the coefficients of the variables in a set of linear equations. The matrix is used in solving systems of linear equations.

The matrix is given in the image attached.

Answer 2

We are given system of equations:

Equation 1: 3x + 4y = 12

Equation 2: - x - 6y = 10.

We need to find the coefficient matrix of the system.

Note: A coefficient matrix is a matrix that is formed by the coefficients of the variables of the system.

In first equation 3x + 4y = 12 coefficient of x and 3 and coefficient of y is 4.

In second equation - x - 6y = 10 coefficient of x and -1 and coefficient of y is -6.

Therefore, coefficient matrix is

`\left[\begin{array}{ccc}3&4\\-1&-6\end{array}\right]`.