Genius has support for vectors and matrices and a sizable library of
matrix manipulation and linear algebra functions.
To enter matrixes, 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
or
[1, 2, 3
4, 5, 6
7, 8, 9]
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Do not use both ';' and return at once on the same line though.
You can also use the matrix expansion functionality to enter matricies.
For example you can do:
a = [ 1, 2, 3
4, 5, 6
7, 8, 9]
b = [ a, 10
11, 12]
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and you should get
[1, 2, 3, 10
4, 5, 6, 10
7, 8, 9, 10
11, 11, 11, 12]
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similiarly you can build matricies out of vectors and other stuff like that.
Another thing is that non-specified spots are initialized to 0, so
will end up being
[1, 2, 3
4, 5, 0
6, 0, 0]
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When matrices are evaluated, they are evaluated and traversed row-wise. This is just
like the M@(j) operator which traverses the matrix row-wise.
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Be careful about using returns for expressions inside the
[ ] brackets, as they have a slightly different meaning
there. You will start a new row.
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