From the course: Machine Learning Foundations: Linear Algebra

Unlock the full course today

Join today to access over 23,200 courses taught by industry experts.

Matrices introduction

Matrices introduction

- [Instructor] Data and business science and machine learning is often organized into rows and columns to form rectangular arrays called matrices. They often appear as tables of numerical data that arise from physical observations. By definition, a matrix is a collection of numbers ordered in rows and columns. As you can see, matrix is a two-dimensional array of numbers. We denote matrices in uppercase, italic, and bold. For example, A, here is an example of matrix. Our matrix contains six numbers, three, zero, minus four, two, three, minus five. We call each of these values an element of a matrix. To make it obvious we are working with the matrix, we put all the elements in the brackets. Our matrix has three rows and two columns. Rows and columns represent two dimensions of a matrix. Matrix A has dimensions three by two or we can say A is three by two matrix. We can apply basic arithmetic operations on matrices…

Contents