How to do matrix multiplication in R?
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# How to do matrix multiplication in R?

This recipe helps you do matrix multiplication in R

## Recipe Objective

How to do matrix multiplication in R? A matrix is a two-dimensional data structure i.e. a matrix contains rows and columns. Matrices are used for performing mathematical calculations.. Matrix multiplication produces a single matrix by multiplying two different given matrices. The recipe provides an example of matrix multiplication.

## Step 1 - Create a matrix

Syntax- A matrix function takes the following input values : matrix(data,nrow,ncol,byrow,dimnames). data - is our input matrix value, nrow and ncol - are the number of rows and columns required, if byrow=TRUE , the input numbers are arranged by rows and if byrow=FALSE, then they are arranged by columns. dimnames - assigns names to rows and columns of a data frame.

``` m1 <- matrix(c(1:8), nrow = 4, ncol = 4, byrow = TRUE) print(m1) ```
```"m1 matrix":
[,1] [,2] [,3] [,4]
[1,]    1    2    3    4
[2,]    5    6    7    8
[3,]    1    2    3    4
[4,]    5    6    7    8

```
``` m2 <- matrix(c(11:18), nrow = 4, ncol = 4, byrow = TRUE) print(m2) ```
```"m2 matrix":
[,1] [,2] [,3] [,4]
[1,]   11   12   13   14
[2,]   15   16   17   18
[3,]   11   12   13   14
[4,]   15   16   17   18
```

## Step 2 - Matrix Multiplication

``` print(m1*m2) # element wise multiplication ```
```"Output of the code is ":
[,1] [,2] [,3] [,4]
[1,]   11   24   39   56
[2,]   75   96  119  144
[3,]   11   24   39   56
[4,]   75   96  119  144
```
``` print(m1%*%m2) # inner product of the two ```
```"Output of the code is ":

print(m1%*%m2)        # inner product of the two matrices
[,1] [,2] [,3] [,4]
[1,]  134  144  154  164
[2,]  342  368  394  420
[3,]  134  144  154  164
[4,]  342  368  394  420
```

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