[This article was first published on R Archives » Data Science Tutorials, and kindly contributed to R-bloggers]. (You can report issue about the content on this page here)
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.

The post Cross product of transpose of matrix in R appeared first on Data Science Tutorials

Unravel the Future: Dive Deep into the World of Data Science Today! Data Science Tutorials.

Cross product of transpose of matrix in R, you’ll learn how to calculate matrix cross products using the `crossprod` and `tcrossprod` functions.

The cross product of a matrix and its transpose is a fundamental concept in linear algebra, and it is often used in various applications such as machine learning, data analysis, and statistics.

In R, the cross product of a matrix and its transpose can be calculated using the `tcrossprod()` function, which is a more efficient and convenient way to compute the result compared to using the `t()` function and the `%*%` operator.

We will also provide examples of how to use this function in practice, and discuss the advantages and by the end of this tutorial, you will have a solid understanding of how to calculate the cross product of a matrix and its transpose in R, and how to apply this knowledge in your own projects.

Example 1: Cross Product Using `crossprod` Function

Create example data:

```my_mat <- matrix(1:9, nrow = 3)
my_mat
[,1] [,2] [,3]
[1,]    1    4    7
[2,]    2    5    8
[3,]    3    6    9
my_vec <- 1:3```

Calculate cross product using `crossprod` function:

```my_crossprod1 <- crossprod(my_mat, my_vec)
my_crossprod1```

Result:

```      [,1]
[1,]   14
[2,]   32
[3,]   50```

Example 2: Cross Product of Transpose of Matrix Using `tcrossprod` Function

What is the best way to filter by row number in R? » Data Science Tutorials

Calculate cross product of transpose of matrix using `tcrossprod` function:

```my_tcrossprod1 <- tcrossprod(my_mat)
my_tcrossprod1```

Result:

```     [,1] [,2] [,3]
[1,]   66   78   90
[2,]   78   93  108
[3,]   90  108  126```

Note that the same result can be obtained using the `%*%` operator and `t` function:

```my_tcrossprod2 <- my_mat %*% t(my_mat)
my_tcrossprod2```

Result:

```      [,1] [,2] [,3]
[1,]   66   78   90
[2,]   78   93  108
[3,]   90  108  126```

The post Cross product of transpose of matrix in R appeared first on Data Science Tutorials

Unlock Your Inner Data Genius: Explore, Learn, and Transform with Our Data Science Haven! Data Science Tutorials.