## R – Correlation Matrix

To find Correlation Matrix a given matrix in R, call cor() function, and pass given matrix as argument to it. The function returns the Correlation Matrix for the supplied matrix.

In this tutorial, we will learn how to compute Correlation Matrix using cor() function, with the help of examples.

### Syntax

The syntax to find correlation matrix for matrix `A` is

`cor(A)`

Return Value

cor() function returns a matrix.

### Examples

In the following program, we will create a matrix `A` and find its Correlation Matrix using cor() function.

example.R

```data <- c(1, 4, 0, -1, 0, 1, 2, 6, -1)
A <- matrix(data, nrow = 3, ncol = 3)

A_C <- cor(A)

print("Matrix A")
print(A)
print("Correlation Matrix of A")
print(A_C)```

Output

``` "Matrix A"
[,1] [,2] [,3]
[1,]    1   -1    2
[2,]    4    0    6
[3,]    0    1   -1
 "Correlation Matrix of A"
[,1]       [,2]       [,3]
[1,]  1.0000000 -0.2401922  0.9803156
[2,] -0.2401922  1.0000000 -0.4271211
[3,]  0.9803156 -0.4271211  1.0000000```

Now, let us take an Identity Matrix of dimensions, say 3×3, and find its Correlation Matrix.

example.R

```data <- c(1, 0, 0, 0, 1, 0, 0, 0, 1)
A <- matrix(data, nrow = 3, ncol = 3)

A_C <- cor(A)

print("Matrix A")
print(A)
print("Correlation Matrix of A")
print(A_C)```

Output

``` "Matrix A"
[,1] [,2] [,3]
[1,]    1    0    0
[2,]    0    1    0
[3,]    0    0    1
 "Correlation Matrix of A"
[,1] [,2] [,3]
[1,]  1.0 -0.5 -0.5
[2,] -0.5  1.0 -0.5
[3,] -0.5 -0.5  1.0```

### Conclusion

In this R Tutorial, we learned how to Inverse a Matrix in R using solve() function, with the help of examples.