Calculate the cross-product of the Transpose of a Matrix in R Programming – tcrossprod() Function

tcrossprod() function in R Language is used to return the cross-product of the transpose of the specified matrix.

Syntax: tcrossprod(x)

Parameters:
x: numeric matrix

Example 1:

# R program to illustrate
# tcrossprod function

# Initializing a matrix with
# 2 rows and 2 columns
x <- matrix(1:4, 2, 2)

# Getting the matrix representation
x

# Calling the tcrossprod() function
tcrossprod(x)

Output:

     [, 1] [, 2]
[1, ]    1    3
[2, ]    2    4

     [, 1] [, 2]
[1, ]   10   14
[2, ]   14   20

Example 2:

# R program to illustrate
# tcrossprod function

# Initializing a matrix with
# 3 rows and 3 columns
x <- matrix(1:9, 3, 3)

# Getting the matrix representation
x

# Calling the tcrossprod() function
tcrossprod(x)

Output:

     [, 1] [, 2] [, 3]
[1, ]    1    4    7
[2, ]    2    5    8
[3, ]    3    6    9

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