From 5d71be06a8b48a3e76302bf8c7db90db5e146538 Mon Sep 17 00:00:00 2001
From: Aadit Agrawal <tech@aaditagrawal.com>
Date: Sat, 31 Aug 2024 02:07:24 +0530
Subject: [PATCH] Add OOP/Java/Lab/Week4/TraceNorm.java

---
 OOP/Java/Lab/Week4/TraceNorm.java | 40 +++++++++++++++++++++++++++++++
 1 file changed, 40 insertions(+)
 create mode 100644 OOP/Java/Lab/Week4/TraceNorm.java

diff --git a/OOP/Java/Lab/Week4/TraceNorm.java b/OOP/Java/Lab/Week4/TraceNorm.java
new file mode 100644
index 0000000..a403045
--- /dev/null
+++ b/OOP/Java/Lab/Week4/TraceNorm.java
@@ -0,0 +1,40 @@
+import java.util.Scanner;
+
+class TraceNorm {
+
+    public static void main(String[] args) {
+        Scanner sc = new Scanner(System.in);
+
+        System.out.print("Enter the size of the square matrix: ");
+        int n = sc.nextInt();
+
+        double[][] matrix = new double[n][n];
+
+        System.out.println("Enter the elements of the matrix:");
+        for (int i = 0; i < n; i++) {
+            for (int j = 0; j < n; j++) {
+                matrix[i][j] = sc.nextDouble();
+            }
+        }
+
+        // trace
+        double trace = 0;
+        for (int i = 0; i < n; i++) {
+            trace += matrix[i][i];
+        }
+
+        // norm
+        double normSquared = 0;
+        for (int i = 0; i < n; i++) {
+            for (int j = 0; j < n; j++) {
+                normSquared += matrix[i][j] * matrix[i][j];
+            }
+        }
+        double norm = Math.sqrt(normSquared);
+
+        System.out.println("Trace of the matrix: " + trace);
+        System.out.println("Norm of the matrix: " + norm);
+
+        sc.close();
+    }
+}