DofotheroU

2021-02-09

Write the matrix equation as a system of linear equations without matrices.
$\left[\begin{array}{ccc}2& 0& -1\\ 0& 3& 0\\ 1& 1& 0\end{array}\right]\left[\begin{array}{c}x\\ y\\ z\end{array}\right]=\left[\begin{array}{c}6\\ 9\\ 5\end{array}\right]$

yunitsiL

Step 1
Given
$\left[\begin{array}{ccc}2& 0& -1\\ 0& 3& 0\\ 1& 1& 0\end{array}\right]\left[\begin{array}{c}x\\ y\\ z\end{array}\right]=\left[\begin{array}{c}6\\ 9\\ 5\end{array}\right]$
Step 2
System of linear equation
$2x+0y-z=6$
$0x+3y+0z=9$
$x+y+0z=5$
Now simplify these equation we get
$2x-z=6$
$3y=9$
$x+y=5$

Jeffrey Jordon