Matrix Coefficient
A coefficient matrix is a matrix formed by the coefficients of the variables in a system of linear equations, excluding the constant terms. Definition: A coefficient matrix is a matrix that contains the coefficients of the variables in a system of linear equations. Example: Consider the system of equa…
Magnitudes
The “magnitude” of a vector is the distance from the endpoint of the vector to the origin – in a word, it’s length.
Vector
A vector is an element in a vector space. It is a quantity that can describe both the direction and magnitude of an element. Matrices having a single row or column are referred to as vectors. A vector is a list of numbers. There are (at least) two ways to interpret what this list of numbers mean: One…
Linear Algebra
Linear algebra is mathematical discipline that deals with vectors and matrices and, more generally, with vector spaces and linear transformations Elementary linear algebra are given below: Scalars - A scalar is a quantity that only has magnitude and not direction. It is an element that is used to def…
Large Language Models (LLMs)
Large Language Models are a subset of neural networks designed specifically for processing and generating human language. They leverage vast amounts of text data to understand language nuances, context, and semantics. They rely on neural networks, particularly transformer architectures like GPT (Gen…