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alien_lover - ℝ^3 - lay's chips lyrics

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[intro]
yeah… algebra… huh?
algebra…
ay… yeah… algebra

yeah this is linear algebra
basic equations locked up and boxed up
in to many vectors
values of solutions and the fact that

x₁, x₂, x₃++ add them up, and what do they be?
variables are basic or free
no pivot column just set it to free

matrices got their own operations
look at them really cool multiplication
and communicative unlike temptation
n by n times n by p dimensions

square matrices, takin’ the inverse squared
two by two you know the method is terse
it does not hurt, if it’s invertible
since by identity it is convertible

now we move to the determinant
it’s not that hard to determine it
do the cofactor expansion
[?] any derivatives, ignore any tangents
on paper go look for rows of zeros
they will be your ultimate heroes
on a computer reduce the rows
we go with [?] n cubed with a diagonal

[chorus]
when you got lay, you don’t need no tutor
‘coz there are online answers, but that’s just a rumor
programming with matlab on a computer
don’t use any paper ‘coz we are not boomers

[chorus 2]
three equations, into one box
from long to short, just like my talks (yuh, it’s alan here)
modelling things, like shops and stocks (lets go)
i guess matrices really just do rock

take the span++where does it go? (where?)
it produces a subsp+ce, in the flow (in the flow)
dependent vectors don’t change it on the low (as the low)
so they can just be dropped up to show (up to show!)

ay, this the basic of the basis
independent vectors gon’ serve as the laysis
n vectors make n+dimensional sp+ces
no more no less, and they all wrapped in their braces
ay, yeah, now we’re going eigen+style
gotta remember algebra
i know that it’s been a while
a minus λ, i then set determinant to zero
this one tony stark did, now you’re an eigen+hero

when you’re past the basics
get the characteristic equation
2 by 2, it’s a quadratic equation

got the eigenvalues, they reveal the transformations
constant multiple of the vector by the basis

[chorus]
when you got lay, you don’t need no tutor
‘coz there are online answers, but that’s just a rumor
programming with matlab on a computer
don’t use any paper ‘coz we are not boomers

[chorus 2]
three equations, into one box
from long to short, just like my talks (yuh, it’s alan here)
modelling things, like shops and stocks (lets go)
i guess matrices really just do rock

- alien_lover lyrics

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