Print Identity Matrix in Swift

In this article, we will learn how to write a swift program to print an identity matrix. Identity matrix is a square matrix in which the main diagonal elements contain only one and the rest of the elements are 0. For example ?

$\mathrm{Matrix\:=\:\begin{bmatrix}1 & 0 & 0 & 0 & 0 \newline0 & 1 & 0 & 0 & 0 \newline0 & 0 & 1 & 0 & 0\newline0 & 0 & 0 & 1 & 0\newline0 & 0 & 0 & 0 & 1\end{bmatrix}}$

Algorithm

Step 1 ? Create a function.

Step 2 ? In this function, use nested for loop to irate through each row and column.

Step 3 ? Check if the rows and columns are equal, then print 1. Otherwise, print 0.

Step 4 ? Declare a variable to store the size of the array.

Step 5 ? Call the function and pass the array size as a parameter in it.

Step 6 ? Print the output.

Example

Following Swift program to print an identity matrix

import Foundation
import Glibc

// Function to create identity matrix
func createIdentityMatrix(len:Int) {
   for x in 0..<len {
      for y in 0..<len {
         if (x == y) {
            print("1", terminator:" ")
         }
         else{
            print("0", terminator:" ")
         }
      }
      print("\n")
   }
}

// Size of the matrix
var size = 6
print("Identity Matrix: ")

// Calling the function
createIdentityMatrix(len:size)

Output

Identity Matrix:
1 0 0 0 0 0
0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0
0 0 0 0 1 0
0 0 0 0 0 1

Here in the above code, we create a function to print the identity matrix. As we know, the main diagonal of the identity matrix contains 1 and the rest elements are 0. So we use nested for loops to iterate through each row and column and print 1 if x == y means the element is the main diagonal element. Otherwise, print 0.

Conclusion

Therefore, this is how we can print the identity matrix. The inverse of the identity matrix is the same as the given identity matrix and the determinant of the identity matrix is 1.