Many of us may find understanding statistics a challenging task. Moreover, when it comes to conditional probability, we may find ourselves scratching our heads. And yes, I am one of…
Machine learning and artificial intelligence have revolutionized the world and are no longer the future. From recognizing objects to being chatbots, artificial intelligence can accomplish tasks that are beyond our…
"Machine learning is not magic; it's just a tool, like a hammer or a wrench. And like any tool, it has limitations, which you need to understand in order to…
In this previous post on matrix multiplication, I discussed the geometrical significance of the dot product of matrices and how it represents the linear mapping of vectors. We also realized…
In my last blog on orthogonal projection, I shared how visualizing mathematical concepts help us understand them better. So, I thought of doing the same with matrix multiplication. Matrix multiplication…
Mathematics is always fascinating when we understand it by visualizing its effect. Especially, when you already know something and prove it using mathematics, that 'AHA' moment hits differently. The same…
In Python programming, different calculations can be carried out between values and variables using python operators. Operators help us to perform logical or/and arithmetic operations in the code. In this…
On my road to understanding linear algebra for the sake of machine learning, linear transformation of vectors is the topic that I found most challenging to understand, at the same…
In a given vector space \(V\), the set of all the linear combinations that are possible with the vectors \(v_1, v_1, ..., v_n\) present in \(V\) is called the generating…
In this article on linear algebra, we are going to understand about linear independence between vectors. Furthermore, we will use Gaussian elimination to check if a set of vectors is…
