## HOW TO MULTIPLY MATRICES

The product of matrix AB is determined by multiplying every row matrix of A by the column matrix of B.

If A  =  [aij]mxn and B  =  [bij]nxp then the product matrix AB is defined by ## Multiplying Row Matrix by Column Matrix

Question 1 :

Find the product of the matrices, if exists. Solution : Order of matrix A is 1 x 2 and order of matrix B is 2 x 1. The order of matrix AB is 1 x 1.

## Multiplying a Column Matrix by Row Matrix

Question 2 : then find AB.

Solution :

Order of matrix A is 3 x 1.

Order of matrix B is 1 x 3

Order of matrix AB is 3 x 3.    ## Multiplying Matrices of Different Dimensions

Question 3 :

Find the product of the given matrices. Solution : By multiplying the first row of matrix A by the columns of matrix B, we get row 1 of resultant matrix AB.

By multiplying the second row of matrix A by the columns of matrix B, we get row 2 of resultant matrix AB.

Order of matrix A is 2 x 3, order of matrix B is 3 x 2.

So, the order of matrix AB will be 2 x 2.  By doing simplification, we get the result.  Apart from the stuff given above if you need any other stuff in math, please use our google custom search here.

Kindly mail your feedback to v4formath@gmail.com

## Recent Articles 1. ### Cubes and Cube Roots

Dec 11, 23 08:32 AM

Cubes and Cube Roots - Concepts - Examples

2. ### Worksheet on Speed Distance and Time

Dec 10, 23 10:09 PM

Worksheet on Speed Distance and Time