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

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.

Precalculus Course: Precalculus > Unit 7 Lesson 11: Properties of matrix multiplication Defined matrix operations Matrix multiplication dimensions Intro to identity matrix

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 complicated. …

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

Sal shows how to find the inverse of a 3x3 matrix using its determinant. In Part 1 we learn how to find the matrix of minors of a 3x3 matrix and its cofactor matrix. Created by Sal Khan.

Let me to do an example, just to make sure you get the idea. Let's say I have some vector v and it's in R3. Let's say it's 1, 2, minus 1. What is the length of v? The length of v is equal to the square root of …

Video transcript - [Instructor] So we have two, three by three matrices here, matrix A and matrix B. And we can of course, view each of them as a transformation in three dimensional space. Now, what …

An identity matrix and reduced row echelon form of a matrix are related, but not the same. If the rows of an augmented square matrix, M, are linearly independent and we are trying to put M into reduced …

In order to apply a transformation matrix onto another matrix or vector, you need to multiply the transformation matrix and the objective matrix/vector. Summing matrices or vectors is not how you …