What is the L1 norm of a vector? The norm of a vector v is mathematically defined as follows: $latex L^q=||\vec{v}||_q=(\sum_{k}{|v_k|^q})^{\frac{1}{q}} $ When q=1, the vector norm is called the L1 norm. So, the L1 norm of a vector is mathematically defined as...

What is the trace of a matrix? Let’s say there is an nxn matrix A. If Ai,j represents the element in the ith row and jth column of the matrix A, then the elements Ai,i for all i between 1 to n will form the principal diagonal of the matrix. Let’s look at an example....

What is the Hadamard product in linear algebra? Let’s say we are given two mxn matrices A and B. The Hadamard product of the matrices A and B will give us another mxn matrix H such that the element of ith row and jth column of H will be the product of the elements of...

Let’s say A is an mxn matrix and B is an nxp matrix. If we multiply these two matrices, we will get another matrix C such that: $latex C_{i,j}=\sum_{m}{A_{i,m}B_{m,j}} $ Here, Ci,j indicates the element in the ith row and jth column of matrix C. Similarly, Ai,m...