Question

Write a matrix to represent the system.
𝑥−𝑦+𝑧=0𝑥−2𝑦−𝑧=52𝑥−𝑦+2𝑧=8

Answer 1

$$
\Large{
x-y + z = 0
\\x - 2y - z = 5
\\2x -y + 2z = 8
\\~\\\iff\\~\\
\begin{bmatrix}
1& -1 & 1
\\1 & -2 & -1
\\ 2 & -1 & 2
\end{bmatrix}
\cdot
\begin{bmatrix} x\\y\\ z\end{bmatrix}
= \begin{bmatrix} 0\\5\\ 8\end{bmatrix}
}
$$

Answer 2

thank you!