Question

Write linear system as a matrix equation in the form AX=B

Answer 1

Answer:

`\begin{bmatrix}{-3} & {-1} & {-1} \\ {-3} & {4} & {-1} \\ {-3} & {4} & {4}\end{bmatrix}\begin{bmatrix}{x} & & \\ {y} & & \\ {z} & & \end{bmatrix}=\begin{bmatrix}{14} & & \\ {6} & & \\ -{4} & & \end{bmatrix}`

Step-by-step explanation:

Given the system of equations:

`\begin{gathered} -3x-y-z=-14 \\ -3x+4y-z=6 \\ -3x+4y+4z=-4 \end{gathered}`

Writing in the form:

AX = B

Where A is the matrix of the coefficients

X are the variables

B are the constant terms