From 506b43bc31c0b1d3b87013508c19913484dc0c47 Mon Sep 17 00:00:00 2001
From: Nehal Chaudhari <58935474+nehalchaudhari31@users.noreply.github.com>
Date: Fri, 29 Oct 2021 10:56:12 +0530
Subject: [PATCH] Symmetric or Skew symmetric matrix in C++

Hacktoberfest 2021
---
 Symmetric or Skew symmetric matrix in C++ | 98 +++++++++++++++++++++++
 1 file changed, 98 insertions(+)
 create mode 100644 Symmetric or Skew symmetric matrix in C++

diff --git a/Symmetric or Skew symmetric matrix in C++ b/Symmetric or Skew symmetric matrix in C++
new file mode 100644
index 00000000..c7e2c0eb
--- /dev/null
+++ b/Symmetric or Skew symmetric matrix in C++	
@@ -0,0 +1,98 @@
+nor skew symmetric.
+Code
+
+#include <iostream>
+using namespace std;
+
+int main()
+
+{
+	int n;
+
+	cout << "Enter size of square matrix\n"; //inputting size of the matrix
+
+	cin >> n;
+
+	int a[n][n];
+
+	cout << "Enter the matrix row-wise\n";	//inputting the matrix row wise
+
+	for (int i = 0; i < n; ++i)
+
+	{
+		for (int j = 0; j < n; ++j)
+
+		{
+
+			cin >> a[i][j];
+		}
+	}
+
+	int ctr = 1;
+
+	for (int i = 0; i < n; ++i)	//check for symmetric matrix
+
+	{
+		for (int j = 0; j < n; ++j)
+
+		{
+
+			if (a[i][j] != -a[j][i])
+
+			{
+
+				ctr = 0;
+
+				break;
+			}
+		}
+
+		if (ctr == 0)
+
+			break;
+	}
+
+	if (ctr)	//printing if matrix is symmetric 
+
+		cout << "Matrix is skew-symmetric\n";
+
+	else	//checking if skew symmetric matrix 
+
+	{
+		ctr = 1;
+
+		for (int i = 0; i < n; ++i)
+
+		{
+
+			for (int j = 0; j < n; ++j)
+
+			{
+
+				if (a[i][j] != (-a[j][i]))
+
+				{
+
+					ctr = 0;
+
+					break;
+				}
+			}
+
+			if (ctr == 0)
+
+				break;
+		}
+
+		if (ctr)	//printing if matrix is skew symmetric matrix
+
+			cout << "Matrix is skew-symmetric\n";
+
+		else	//if not then its neither of the two
+
+			cout << "Matrix is neither symmetric nor skew-symmetric\n";
+	}
+
+	return 0;
+
+}