Matrix is an arrangement of numbers into rows and columns. Make your first introduction with matrices and learn about their dimensions and elements.

Through the second set, we develop our intuition of some properties of matrices by constructing them in different ways. we realise that operations that apply to individual elements also apply …

Learn what a zero matrix is and how it relates to matrix addition, subtraction, and scalar multiplication.

The dimensions of a matrix tell the number of rows and columns of the matrix in that order. Since matrix A has 2 rows and 3 columns, it is called a 2 × 3 matrix.

This topic covers: - Adding & subtracting matrices - Multiplying matrices by scalars - Multiplying matrices - Representing & solving linear systems with matrices - Matrix inverses - Matrix …

Sal transforms a 2-dimensional vector using a 2x2 matrix, and draws the original vector and its image on the plane. Created by Sal Khan.

What I want to do in this video is explore the notion of a matrix outside of the context of a surprisingly good movie that involves Keanu Reeves. And it's actually the first of three.

Well, once you've got that 1000 by 3 matrix, there are very easy ways to manipulate it using matrix multiplication. Say you want to make your train 3 times bigger in the x direction and 1/2 …

Matrix multiplication is a way of composing linear transformations, and the convention for matrix multiplication is designed to make this composition of linear transformations work correctly.

When we multiply a matrix by a scalar (i.e., a single number) we simply multiply all the matrix's terms by that scalar. We can also multiply a matrix by another matrix, but this process is more …