How to Extract the Diagonal of a Matrix in R - Step by Step Examples
How to Extract the Diagonal of a Matrix in R ?
Answer
To extract the diagonal of a matrix in R, you can use the diag()
function. This function retrieves the diagonal elements of a matrix as a vector.
✐ Examples
1 Extract Diagonal of a 2x2 Matrix
In this example,
- First, we create a 2x2 matrix named
matrix1
using thematrix()
function with a vector of valuesc(1, 2, 3, 4)
and specify the number of rows as 2. - To extract the diagonal elements, we use the
diag()
function onmatrix1
and store the result in a variable calleddiagonal1
. - The
diag()
function returns a vector containing the diagonal elements of the matrix. - Finally, we use the
print()
function to display the diagonal elements stored indiagonal1
.
R Program
matrix1 <- matrix(c(1, 2, 3, 4), nrow = 2)
diagonal1 <- diag(matrix1)
print(diagonal1)
Output
[1] 1 4
2 Extract Diagonal of a 3x3 Matrix
In this example,
- We first create a 3x3 matrix named
matrix2
using thematrix()
function with a vector of valuesc(1, 2, 3, 4, 5, 6, 7, 8, 9)
and specify the number of rows as 3. - To extract the diagonal elements, we use the
diag()
function onmatrix2
and store the result in a variable calleddiagonal2
. - The
diag()
function returns a vector containing the diagonal elements of the matrix. - Finally, we use the
print()
function to display the diagonal elements stored indiagonal2
.
R Program
matrix2 <- matrix(c(1, 2, 3, 4, 5, 6, 7, 8, 9), nrow = 3)
diagonal2 <- diag(matrix2)
print(diagonal2)
Output
[1] 1 5 9
3 Extract Diagonal of a 4x4 Matrix
In this example,
- First, we create a 4x4 matrix named
matrix3
using thematrix()
function with a vector of valuesc(10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160)
and specify the number of rows as 4. - To extract the diagonal elements, we use the
diag()
function onmatrix3
and store the result in a variable calleddiagonal3
. - The
diag()
function returns a vector containing the diagonal elements of the matrix. - Finally, we use the
print()
function to display the diagonal elements stored indiagonal3
.
R Program
matrix3 <- matrix(c(10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160), nrow = 4)
diagonal3 <- diag(matrix3)
print(diagonal3)
Output
[1] 10 60 110 160
Summary
In this tutorial, we learned How to Extract the Diagonal of a Matrix in R language with well detailed examples.
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