2023-08-03

maths - week 2

lololololololol

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matrices


this is where my submarine head is about half-way down to the titanic..

i can hear the fibres crackling.. but onward..

note: i don't know what i'm talking about. don't put this in your schoolwork.



1 can be represented as a 1x1 matrix [1] - that's interesting in itself!

[23] is 23

and a number by itself when interacting with the matrix is a scalar

a matrix is values, in rows and columns, in a rectangular array.

you can have a square matrix, like 2x2, or 3x3..

an n x n matrix.. a square matrix to the order n

or if there are two rows and three columns, then it is a 2x3 matrix.

and m is used. it's an m x n matrix.

m is the rows and n is the columns.

[ 3 5 6]

[ 2 1 0 ] … a 2x3 matrix of some numbers.

transposing means making the rows into columns and the columns, rows.

[ 3 2 ]

[ 5 1 ]

[ 6 0 ]… a 3x2 matrix is the transpose of a 2x3 matrix

2x2

i'm going to hang out in 2d for a while..

the identity matrix

2id

23id

what is it?

well if you multiply another matrix with it you get back the same matrix

what does that mean?

it's like multiplying a number by 1.. 23 x 1 == 23

and here we go.. it's what it's all about.. matrix multiplication

well it's what i'm here waiting for anyway

well come, sit down.. and watch this with me first..

should we go linear and onto the next chapter?

nah, let's go to this one and freak out a bit..

haha

now, relax, get some popcorn.. and enjoy this..

and desserts..

yum :P

points, vectors, scalars..

what the..

what the