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Does there exists a matrix A such that A(100)=(340),A(011)=(123),A(111)=(321)
calculate A(111).
if so, what is it?

 Oct 18, 2020
 #1
avatar+118703 
+2

I do not think that it exists.

Let

A = (abcdefhij)

 

(abcdefhij)(100)=(adh)=(340)soa=3d=4h=0

 

 

(3bc4ef0ij)(011)=(b+ce+fi+j)=(123)soc=1bf=2ej=3i

 

 

(3b1b4e2e0i3i)(111)=(3+14+20+3)=(263)(321)

 

 

 

 

LaTex:

\text{(abcdefhij)

 

(abcdefhij)
\cdot 
(100)=
(adh)=
(340)\\
so\\ a=-3\qquad b=4\qquad c=0

 

(3bc4ef0ij)
\cdot 
(011)=
(b+ce+fi+j)=
(123)\\
so\\ c=1-b \qquad f=2-e\qquad j=3-i

 

(3b1b4e2e0i3i)
\cdot 
(111)=
(3+14+20+3)=
(263)\ne
(321)\\}

 

 Oct 18, 2020
 #7
avatar+226 
+1

Thank you Melody! 

littlemixfan  Oct 23, 2020
 #2
avatar+2096 
-2

Melody for some reason, your latex or the part below doesn't show up for me sad

 

Is there a reason why?

 Oct 18, 2020
 #3
avatar+118703 
+1

Hi Cal,

Yes, it refused to display as code. It displayed as not properly formatted Latex and I did not want that.

So I made the writing white so it would disappear.

I think you can highlight and copy it if anyone wanted to see it.

 

No one has ever asked me why I usually add the coding at the bottom like this. This has surprised me a little.

I do it for 2 reasons.

1) It may help some people to learn LaTex Coding.

2) Web 2 often will not allow me to get in and edit my code, especially not when it is a big block of code.

   If I have the code at the bottom I can copy it into a new Latex box and edit that instead (Then i would delete the original)

Melody  Oct 18, 2020
 #4
avatar+2096 
-2

I also think that Latex is good and necessary to learn. And yes, webcalc2.0 sometimes censors Latex.

That makes sense. Thanks for the answer Melody! laugh

CalTheGreat  Oct 18, 2020
 #5
avatar+118703 
0

It was not censored.

I wanted to display the code not the output but it refused to display that way.

So I whited  (literally) it out.

Melody  Oct 19, 2020
 #6
avatar+2096 
-2

Oh, okay, I get it! 

 

can you read this? :)

CalTheGreat  Oct 19, 2020

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