Matrix (math)

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β€œIn Soviet Russia, YOU have the Matrix!!”

~ Carl Friedrich Gauss on Russian Reversal

In mathematics, a matrix is a simulated reality. Although technically different types of things can be put into it - from humans to other matrices - for practical reasons and aesthetic most people prefer numbers in their matrices.

Matrices can be added, subtracted, and destroyed; however matrix destruction can only be accomplished by numbers who do not have more than one factor, for example, One.

Contents

[edit] Matrix order

Matrices are defined to have order m and n, where m and are numbers, m being possibly the same as n, or larger, or smaller. For practical and aesthetic reasons most people prefer m to be larger than n, as such. For future reference we present:

M. n.


[edit] Matrix addition

A matrix of order n (where n is a number 1,2,pi,4,5,...) an be added with another matrix of order m. Example:

(1 2 3 4 5 6) + (1 2 3) = (4 4 4 5 6)

In matrix addition, the order of the matrices matter; for example, letting m and n be the order of the matrices, m+n yields M&Ns, whereas n+m is prohibited.

[edit] Matrix subtraction

Matrix subtraction is not matrix addition.

(1 2 3 4 7 2) - (1 1 1) = (2 1 0 7 2)

[edit] Matrix multicomplication

A matrix can always become more complex by multicomplicating it with either a real number (1,2,...10), a complex number (larger than 10) or even another matrix. If a,b,c (etc) are numbers and A is a real constant, then:

A * (a b c) = (A*a A*(a+b) A*(a+b+c)) - B, where B is (pi) - A, which is equal to ((A*a) A*(a+b) A*(a+b+c)-(pi-A)).

Multicomplicated with another matrix; we obtain

(a b c)(d e f) = (a b c d e f f e d c b a)

most notably; it is obvious that (c h e w)(b a c c a) - (a c c a b w e h c) = (c h e w b a c c a)

[edit] Matrix transposition

Any matrix of order n (where n is a letter, obviously) can be transposed. If A is a matrix, then AT is the transposed version of the matrix, ATT is the transposed version of the transposed version of the matrix, etc. Example:

A = (a d z) gives us AT = (a d z z d a)

Obviously, this gives A*A = AT and AT*AT = ATT, etc.

[edit] Matrix inverse

Any matrix A has an inverse AI such that A * AI = E, where E = (1 0 0 0 0 0 ... n), where n is the letter of the order. Don't ask me, I'm just following orders. Example:

If A = (1 0 0) then AI = (0 0 0) because A * AI = (1 0 0 0 0 0). Don't ask me where the dots and the letter n went.

[edit] Practical applications

  • The practical applications of this type of math is left to the reader to evaluate as an exercise.
  • Solving matrices at parties is the best way to get that date with the hot blonde in the corner
  • Contrary to what you might think, they have nothing to do with Keanu Reeves
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