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Mathematics 15 Online
OpenStudy (kainui):

Matrix thingy?

OpenStudy (sissyedgar):

uhhh...

OpenStudy (kainui):

How can I do this transformation: \[\left[\begin{matrix}a & b & c \\ d &e&f \\ g&h &i\end{matrix}\right] \rightarrow \left[\begin{matrix}i &h &g \\ f&e&d \\ c&b&a\end{matrix}\right]\]

OpenStudy (sissyedgar):

i have 0000 idea... and arnt u a mod? i didnt kno mods asked questions 2! :P

OpenStudy (dan815):

180 degree rotation

OpenStudy (dan815):

hahaha sissy really

OpenStudy (sissyedgar):

dan u r like a genius

OpenStudy (dan815):

i am an honorary professor of MATH son

OpenStudy (kainui):

yeah dan <3 help me w/ my problem smartypants

OpenStudy (sissyedgar):

lol

OpenStudy (dan815):

this problem is below my intelligence

OpenStudy (dan815):

i cannot comprehend it

OpenStudy (sissyedgar):

:D

OpenStudy (dan815):

ok but umm how about this lets see how to just make a vector inverse

OpenStudy (kainui):

I was looking at this multiplication table for mod 17 arithmetic when I noticed: ``` *| 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 -------------------------------------------------- 0| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1| 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 2| 0 2 4 6 8 10 12 14 16 1 3 5 7 9 11 13 15 3| 0 3 6 9 12 15 1 4 7 10 13 16 2 5 8 11 14 4| 0 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 5| 0 5 10 15 3 8 13 1 6 11 16 4 9 14 2 7 12 6| 0 6 12 1 7 13 2 8 14 3 9 15 4 10 16 5 11 7| 0 7 14 4 11 1 8 15 5 12 2 9 16 6 13 3 10 8| 0 8 16 7 15 6 14 5 13 4 12 3 11 2 10 1 9 9| 0 9 1 10 2 11 3 12 4 13 5 14 6 15 7 16 8 10| 0 10 3 13 6 16 9 2 12 5 15 8 1 11 4 14 7 11| 0 11 5 16 10 4 15 9 3 14 8 2 13 7 1 12 6 12| 0 12 7 2 14 9 4 16 11 6 1 13 8 3 15 10 5 13| 0 13 9 5 1 14 10 6 2 15 11 7 3 16 12 8 4 14| 0 14 11 8 5 2 16 13 10 7 4 1 15 12 9 6 3 15| 0 15 13 11 9 7 5 3 1 16 14 12 10 8 6 4 2 16| 0 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 ``` It is not only symmetric, but it also has that property that it can be rotated 180 degrees and its the same matrix (if you throw out all the zeroes).

OpenStudy (dan815):

|dw:1423194745114:dw|

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