Scalars, Vectors, Matrices, Tensors and Graphs
Scalars, vectors, matrices and tensors are fundamental structures of linear algebra, and understanding them is integral to unlock the concepts of machine learning.
- A scalar is a singular quantity like a number.
- A vector is an array of numbers (scalar values).
- A matrix is a grid of information with rows and columns.
- A tensor is a mathematical object that can be thought of as a multi-dimensional array of numbers. It generalizes scalars (which are 0-dimensional), vectors (1-dimensional), and matrices (2-dimensional) to potentially higher dimensions.
MATRIX ADDITION
MATRIX TRANSPOSE
Matrix Multiplication
Tesnors
Graphs or Trees
A graph is a visual representation of data or relationships, typically using lines, curves, or bars to show trends, patterns, or the connection between variables. And a tree is a connected graph with no cycles.