311.1.4.6 create a vector equation

  • Context: MHB 
  • Thread starter Thread starter karush
  • Start date Start date
  • Tags Tags
    Vector
Click For Summary

Discussion Overview

The discussion revolves around creating a vector equation based on a given matrix and vector multiplication. Participants explore the formulation of the equation and its representation, including potential plotting of the results.

Discussion Character

  • Technical explanation, Mathematical reasoning, Exploratory

Main Points Raised

  • One participant presents a matrix and vector multiplication, questioning if the resulting expression should be represented as $x_1[ ]+x_2[ ]+x_3[ ]+x_4[ ]$.
  • Another participant provides a detailed breakdown of the multiplication process, showing step-by-step calculations that lead to the resulting vector.
  • A different approach is suggested, where the vector equation is expressed as a linear combination of two vectors, leading to the same resultant vector.
  • One participant expresses curiosity about the possibility of plotting the results on demos, indicating interest in visual representation.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best way to express the vector equation or whether it can be plotted, as there are multiple approaches and no definitive resolution is presented.

Contextual Notes

There are assumptions regarding the definitions of the vectors and the context of the problem that remain unspecified. The discussion does not resolve how to handle potential variables such as $z_?$.

karush
Gold Member
MHB
Messages
3,240
Reaction score
5
2020_05_25_18.21.28~2.jpg

#6
 
Physics news on Phys.org
$$\left[\begin{array}{rrr}
2&-3\\
3&2\\
8&-5\\
-2&1
\end{array}\right]
\left[\begin{array}{rrr}
-3\\5
\end{array}\right]
=\left[\begin{array}{rrrrr}
-21\\1\\-49\\11
\end{array}\right]$$
do they want $x_1[ ]+x_2[ ]+x_3[ ]+x_4[ ]$
cant seen to find example for this
 
$$\left[\begin{array}{rl}
2\cdot (-3)&+(-3)\cdot 5\\
3\cdot (-3)&+2\cdot 5\\
8\cdot (-3)&+(-5)\cdot 5\\
-2\cdot (-3)&+1\cdot 5
\end{array}\right ]
=\left[\begin{array}{rl}
-6&-15\\
-9&+10\\
-24&+25\\
6&+5
\end{array}\right]$$
 
or
$$-3\left[\begin{array}{r}
2\\3\\8\\-2
\end{array}\right]
+5\left[\begin{array}{r}
-3\\2\\-5\\1
\end{array}\right]
=\left[\begin{array}{rrrrr}
-21\\1\\-49\\11
\end{array}\right]
$$
 
08.png

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?
 
Last edited:

Similar threads

  • · Replies 32 ·
2
Replies
32
Views
5K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 18 ·
Replies
18
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 14 ·
Replies
14
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K