# Cross product of transpose of matrix in R

**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

- Sample Size 30 Is it good enough?
- Sample Size Calculation Formula
- Basic statistics concepts
- How to create summary table in R » Data Science Tutorials
- Decision Tree R Code
- Difference Between cat() and paste() in R

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.

**leave a comment**for the author, please follow the link and comment on their blog:

**R Archives » Data Science Tutorials**.

R-bloggers.com offers

**daily e-mail updates**about R news and tutorials about learning R and many other topics. Click here if you're looking to post or find an R/data-science job.

Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.