Ax=b: The Jack of all Trades
$Ax=b$, seems so simple right ? To find $x$ just compute $A^{-1}b$, and most math libraries will give you the answer. But, every linear algebra student knows the real pain behind this nightmare equation :( The problem with this equation is that $x=A^{-1}b$ won’t work for all possible values of $A$ and $b$. So, there are like a ton of boundary conditions to consider inorder to find the right solution for $x$. And, the entirety of modern machine learning revolves around this idea. ...