Question

help
write the system as a matrix equation

Answer 1

Ax = b

Answer 2

A is the coefficients and x is the variables

Answer 3

b is what the equations equal to

Answer 4

so first i will write the equations in order with x y and z from left to right so they will look like:

0x + 2y + 7z = -3
-3x - 3y + 0z =3
7x + 0y - 8z = 3

Answer 5

Now i will write them in form Ax = b:
\[\left[\begin{matrix}0 & 2&7 \\ -3 & -3&0\\7&0&-8\end{matrix}\right]\left[\begin{matrix}x \\y\\z\end{matrix}\right]=\left[\begin{matrix}-3 \\ 3 \\3\end{matrix}\right]\]

Answer 6

A is the coefficient matrix, x is the variable matrix, and i like to call b the answer matrix