Matrix Multiplication Notation
We represent a multiplication matrix as the multiplication of two matrices A and B such that the order of A is m×p and the order of B is p×n then the order of the multiplied matrix is m×n. Then
X = AB
Where,
- X is Resulting Matrix of m × n Order
- A and B are Given Matrix of Order m × p and p × n
Matrix Multiplication – How to Multiply Matrices, Methods, Examples
Matrix Multiplication is the product of two matrices that result in the formation of one matrix. It is a binary operation performed on two matrices to get a new matrix called the product matrix. Two matrices can only be multiplied if the number of columns of the first matrix is equal to the number of rows of the second matrix.
In this article, we will learn about Matrix Multiplication, How to Multiply Matrices, Rules for Matrix Multiplication, Examples of Matrix Multiplication, and others in detail.
Table of Content
- What is Matrix Multiplication in Maths?
- Matrix Multiplication Definition
- How to Multiply Matrices?
- What are the Matrix Multiplication Rules?
- Matrix Multiplication Notation
- Matrix Multiplication Formula
- Algorithm for Matrix Multiplication
- Matrix Multiplication Rules
- 2×2 Matrix Multiplication Formula
- 3×3 Matrix Multiplication Formula
- Matrix Multiplication by Scalar
- Properties of Matrix Multiplication
- Commutative Property
- Associative Property
- Distributive Property
- Product with a Scalar
- Determinant of Matrix Multiplication
- Transpose of Matrix Multiplication
- Multiplicative Identity Property
- Multiplicative Property of Zero
- Matrix Multiplication Examples
- Practice Problems on Matrix Multiplication