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# How to do matrix multiplication in R?

# How to do matrix multiplication in R?

This recipe helps you do matrix multiplication in R

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.

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

```
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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