Maths Poems

Ode to Linear Algebra
An algebra of the linear kind
Is a love that spans my heart.
Though you may think it will blow your mind,
To a mathematician, it’s art.
Is W a subspace of V? Don’t fret!
As there is a test we’ve been taught -
W should be a non-empty set,
Where one of those elements is nought.
To continue the next step of this mission
There is no complication.
It is a subset it’s closed under vector addiction
And scalar multiplication.
Now onto our next citation,
Which you may consider a complex sentence,
Linear independence is a trivial linear relation
Whose opposite is linear dependence.
A set containing x₁ to x_n,
If it spans V, a vector space,
is linearly independent, then...
That is called a basis.
Next we’ll state some applications
Like how to solve a linear system
That’s made up of a few equations,
But there’s too many others to list ‘em!
We’ll go through one more of the things
Which with this wonderful maths we can do.
We can expand Fourier Series like kings
Then sit back and enjoy the view.
What is the best way to grasp this math?
I hear you ask me.
Well, there is this great lecturer I hath,
And that is the answer, you see!