# Multiplication of Matrices Worksheets

How to Multiply Matrices - A matrix is a method of writing numbers, expressions, symbols, or a variety of other elements in square or rectangular arrays. These arrays consist of various rows and columns. While writing the structure of a matrix, it is important to write the number of rows first and then the number of columns. The standard format of writing the construct of a matrix is [Rows x Columns]. Usually, we deal with 2 by 2 or 3 by 3 matrices. 2 by 2 means 2 row and 2 columns. Similarly, 3 by 3 means 3 rows and 3 columns. Matrices can also be multiplied or divided by each other. While multiplying two matrices, the first thing that must be kept in mind is the number of elements in rows and columns must be equal. Two matrices can be multiplied with each other only if the number of elements in the rows of the first matrice is equal to the number of elements in the columns of the second. The multiplication is carried out between two matrices in a way that the elements of the first row of the first matrix get multiplied by the elements of the first column of the second matrices. Then the first row by the second column, then third until the last column approaches. The same process is repeated for all the rows to come.

• ### Basic Lesson

Guides students through determining the product of matrices. Two matrices A and B are conformable for the product AB if the number of columns in A (pre-multiplier) is same as the number of rows in B (post-multiplier).

• ### Intermediate Lesson

Demonstrates a step-by-step method for conforming a product of matrices. We show you an example of where matrix multiplication is not possible because the number of columns in the first matrix is not equal to the number of rows in the second matrix.

• ### Independent Practice 1

A really great activity for allowing students to understand the concept of Multiplication of Matrices. Find the product. If the product is not defined, state the reason.

• ### Independent Practice 2

Students find the Multiplication of Matrices in assorted problems. The answers can be found below.

• ### Homework Worksheet

SStudents are provided with problems to achieve the concepts of Multiplication of Matrices.

• ### Skill Quiz

This tests the students ability to evaluate Multiplication of Matrices.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Answer Key

Answers for the lesson and practice sheets.

#### What "puzzle" appeared on the "Father of Algebra's" tombstone?

Answer: The puzzle told us the length of Diophantus' life (84 years). Let the length of his life be called x.
1/6 x + 1/12 x + 1/7 x + 5 + 1/2 x + 4 = x