Chapter 8. Matriser i GEL
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# Chapter 8. Matriser i GEL

Genius har stöd för vektorer och matriser och innehåller ett stort bibliotek med funktioner för matrismanipulation och linjär algebra.

## Mata in matriser

To enter matrices, you can use one of the following two syntaxes. You can either enter the matrix on one line, separating values by commas and rows by semicolons. Or you can enter each row on one line, separating values by commas. You can also just combine the two methods. So to enter a 3x3 matrix of numbers 1-9 you could do

    [1,2,3;4,5,6;7,8,9]

or

    [1, 2, 3
     4, 5, 6
     7, 8, 9]

Do not use both ';' and return at once on the same line though.

You can also use the matrix expansion functionality to enter matrices. For example you can do:

    a = [ 1, 2, 3
          4, 5, 6
          7, 8, 9]
    b = [ a,  10
          11, 12]

and you should get

    [1,   2,  3, 10
     4,   5,  6, 10
     7,   8,  9, 10
     11, 11, 11, 12]

similarly you can build matrices out of vectors and other stuff like that.

Another thing is that non-specified spots are initialized to 0, so

    [1, 2, 3
     4, 5
     6]

will end up being

    [1, 2, 3
     4, 5, 0
     6, 0, 0]

Då matriser evalueras så evalueras och traverseras de radvis. Detta är precis som `M@(j)`-operatorn som traverserar matrisen radvis.

### Note

Var försiktig med returnering av uttryck inuti `[ ]`-parenteserna, eftersom det har en något annorlunda betydelse där. Du kommer att starta en ny rad.

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