Does there exists a matrix A such that A(100)=(−340),A(011)=(123),A(111)=(321)
calculate A(1−1−1).
if so, what is it?
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=1−bf=2−ej=3−i
(−3b1−b4e2−e0i3−i)⋅(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
(−3b1−b4e2−e0i3−i)
\cdot
(111)=
(−3+14+20+3)=
(−263)\ne
(321)\\}
Melody for some reason, your latex or the part below doesn't show up for me
Is there a reason why?
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)
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!