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Mathematics 14 Online
OpenStudy (anonymous):

The Matrix c=1 -2 (top)-3 7(bottom) was used to encode a phrase to [7 -28 -25-35-2 -21 107 90 123 17] . find C^_ and use it to decode the matrix. I need someone to show me how i would decode a matrix. i will become a fan and give a medal to whoever helps me

OpenStudy (anonymous):

OpenStudy (anonymous):

*the screenshots are easier to understand * I will BECOMe a Fan*

OpenStudy (perl):

you can encode it using column vectors

OpenStudy (anonymous):

i dont know what that is

OpenStudy (perl):

which one do you want help with, number 13?

OpenStudy (anonymous):

yes

OpenStudy (perl):

ok we want to encode the phrase, one question to go. i believe we want to include spaces. so we can use a matrix

OpenStudy (anonymous):

isn't 1 -2 the matrix ? -3 7

OpenStudy (perl):

The idea here is to code it this way $$ \begin{bmatrix} 1 & -2 \\ -3& 7 \end{bmatrix} \cdot \begin{bmatrix} O & E& Q& E & T & O\\ N &\_ & U & S & I & N \end{bmatrix} $$

OpenStudy (anonymous):

so what i do next multiply it ?

OpenStudy (perl):

The idea here is to code it this way $$ \begin{bmatrix} 1 & -2 \\ -3& 7 \end{bmatrix} \cdot \begin{bmatrix} O & E& Q& E & T & O& \_ &O &G\\ N &\_ & U & S & I & N &T &\_ &O \end{bmatrix} $$

OpenStudy (perl):

do you agree with that so far, we just need to change the letters to numbers now

OpenStudy (anonymous):

oh thats all we have to do ?

OpenStudy (perl):

change to numbers and multiply, yes

OpenStudy (anonymous):

okay i think i got it now

OpenStudy (anonymous):

but where did you get all those letters from ?

OpenStudy (perl):

read it down vertically

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

do i replace the _ with a zero ?

OpenStudy (perl):

http://prntscr.com/7c1g1p

OpenStudy (perl):

right

OpenStudy (anonymous):

okay i seee lol ....

OpenStudy (perl):

here is an example http://aix1.uottawa.ca/~jkhoury/cryptography.htm

OpenStudy (anonymous):

oh that's what you meant by using column vectors

OpenStudy (perl):

right, the only difference they used number 27 for _ and we used 0

OpenStudy (anonymous):

yeah , so when you decode it ,it'll turn into letters or a phrase

OpenStudy (perl):

right

OpenStudy (anonymous):

okay i understand how to do it , it's going to take me a minute to get my answer soo thanks for helping me understand it .

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