Learn how to find the result of matrix addition and subtraction operations. Skip to main content If you're seeing this message, it means we're having trouble loading external resources on our website.

Learn about the properties of matrix addition (like the commutative property) and how they relate to real number addition. In the table below, A ‍ , B ‍ , and C ‍ are matrices of equal dimensions.

Matrix multiplication is not commutative, so you must account for that when solving matrix equations. In addition, "matrix division" does not exist. Instead of dividing matrices to cancel out matrix multiplication, we can instead multiply by the inverse of a matrix.

Learn matrix addition and scalar multiplication through engaging video lessons on Khan Academy, a free educational platform for learners of all levels.

Learn about the properties of matrix scalar multiplication (like the distributive property) and how they relate to real number multiplication. In the table below, A ‍ and B ‍ are matrices of equal dimensions, c ‍ and d ‍ are scalars, and O ‍ is a zero matrix.

Sal determines which of a few optional matrix expressions is equivalent to the matrix expression A*B*C. This is done using what we know about the properties of matrix addition and multiplication. Created by Sal Khan.

Learn about the properties of matrix addition (like the commutative property) and how they relate to real number addition.

Sal defines what it means to add or subtract matrices. He shows a few examples and discusses some important properties of matrix addition and subtraction.

In this video, we learn how to apply trigonometric identities to evaluate sums and products of matrices. In addition to matrix addition and multiplication properties, we also apply our knowledge from the trigonometry unit to solve these problems.

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