311.1.4.6 create a vector equation

[karush]

#6

 

[karush]

$$\left[\begin{array}{rrr}
2&-3\\
3&2\\
8&-5\\
-2&1
\end{array}\right]
\left[\begin{array}{rrr}
-3\\5
\end{array}\right]
=\left[\begin{array}{rrrrr}
-21\\1\\-49\\11
\end{array}\right]$$
do they want $x_1[ ]+x_2[ ]+x_3[ ]+x_4[ ]$
cant seen to find example for this

 

[karush]

$$\left[\begin{array}{rl}
2\cdot (-3)&+(-3)\cdot 5\\
3\cdot (-3)&+2\cdot 5\\
8\cdot (-3)&+(-5)\cdot 5\\
-2\cdot (-3)&+1\cdot 5
\end{array}\right ]
=\left[\begin{array}{rl}
-6&-15\\
-9&+10\\
-24&+25\\
6&+5
\end{array}\right]$$

 

[karush]

or
$$-3\left[\begin{array}{r}
2\\3\\8\\-2
\end{array}\right]
+5\left[\begin{array}{r}
-3\\2\\-5\\1
\end{array}\right]
=\left[\begin{array}{rrrrr}
-21\\1\\-49\\11
\end{array}\right]
$$

 

[karush]

ok this is #8 which I did in Overleaf with Macros assume we don't try to solve for $z_? $
just curious can this be ploted on demos?