PHY-SC-P9

experiment/aim.md

@@ -1 +1,6 @@
 ### Aim of the experiment
+
+# Gaussian Elimination:
+### This method aims to solve a given system of linear equations.
+
+

experiment/contributors.md

@@ -3,9 +3,10 @@ EMPTY
 ### Subject Matter Experts
 | SNo. | Name | Email | Institute | ID |
 | :---: | :---: | :---: | :---: | :---: |
-| 1 | name | email | institute | id |
+| 1 | Dr. Suchi Agarwal | suchissrai@gmail.com | Dayalbagh Educational Institute | PHY-SC-P9 |
+| 2 | Dr. Yogita Singh Kardam | yogita.singh27@gmail.com  | Dayalbagh Educational Institute | PHY-SC-P9 |
 
 ### Developers
 | SNo. | Name | Email | Institute | ID |
 | :---: | :---: | :---: | :---: | :---: |
-| 1 | name | email | institute | id |
+| 1 | Anhad Parashar | anhadparashar07@gmail.com | Dayalbagh Educational Institute | PHY-SC-P9 |

experiment/experiment-name.md

@@ -1 +1,3 @@
 ## Experiment name
+
+## Gaussian Elimination

experiment/posttest.json

@@ -2,38 +2,39 @@
   "version": 2.0,
   "questions": [
     {
-      "question": "This is a Sample Question 1?",
+      "question": "What is the solution of the given system, when solved by Gaussian Elimination? \n 4x + 3y = 11 \n x - 3y= -1",
       "answers": {
-        "a": "answer1",
-        "b": "answer2",
-        "c": "answer3",
-        "d": "answer4"
+        "a": "(2,1)",
+        "b": "(1,2)"
       },
       "explanations": {
-        "a": "Explanation 1  <a href='www.google.com'>here</a>",
-        "b": "Explanation 2",
-        "c": "Explanation 2",
-        "d": "Explanation 2"
+        "a": "On placing x=2 and y=1, the given system is satisfied",
+        "b": "On placing x=1 and y=2, the given system is not satisfied"
       },
       "correctAnswer": "a",
-      "difficulty": "beginner"
+      "difficulty": "Intermediate"
     },
     {
-      "question": "This is a Sample Question 2?",
+      "question": "Read the solutions by back substitution method: \n ",
+      "matrix": [
+        [1, 0, 0, 2],
+        [0, 1, 0, -1],
+        [0, 0, 1, 3]
+      ],
       "answers": {
-        "a": "answer1",
-        "b": "answer2",
-        "c": "answer3",
-        "d": "answer4"
+        "a": "(1 1 3)",
+        "b": "(1 2 3)",
+        "c": "(0 2 3)",
+        "d": "(2 -1 3)"
       },
       "explanations": {
-        "a": "Explanation 1  <a href='www.google.com'>here</a>",
-        "b": "Explanation 2",
-        "c": "Explanation 2",
-        "d": "Explanation 2"
+        "a": "The value of x and y is incorrect",
+        "b": "The value of x and y is incorrect",
+        "c": "The value of x and y is incorrect",
+        "d": "The correct values are \n x = 2, y = -1, z = 3"
       },
-      "correctAnswer": "c",
-      "difficulty": "beginner"
+      "correctAnswer": "d",
+      "difficulty": "Advanced"
     }
   ]
 }

experiment/pretest.json

@@ -4,36 +4,51 @@
     {
       "question": "This is a Sample Question 1?",
       "answers": {
-        "a": "answer1",
-        "b": "answer2",
-        "c": "answer3",
-        "d": "answer4"
+        "a": "(0 1 -7 -4)",
+        "b": "(0 1 7 4)",
+        "c": "(0 1 7 8)",
+        "d": "(0 1 -7 -8)"
       },
       "explanations": {
-        "a": "Explanation 1  <a href='www.google.com'>here</a>",
-        "b": "Explanation 2",
-        "c": "Explanation 2",
-        "d": "Explanation 2"
+        "a": "From R2, twice of R1 is subtracted to obtain (0 1 -7 -4)",
+        "b": "Subtraction of 2R1 from R2 is incorrect",
+        "c": "Subtraction of 2R1 from R2 is incorrect",
+        "d": "Subtraction of 2R1 from R2 is incorrect"
       },
       "correctAnswer": "a",
-      "difficulty": "beginner"
+      "difficulty": "intermediate"
     },
     {
-      "question": "This is a Sample Question 2?",
+      "question": "Which of the following is in echelon form? ",
       "answers": {
-        "a": "answer1",
-        "b": "answer2",
-        "c": "answer3",
-        "d": "answer4"
+        "a": [
+          [1, 2, 3, 4],
+          [0, 0, 1, 3],
+          [0, 0, 0, 1]
+        ],
+        "b": [
+          [7, 0],
+          [0, 2]
+        ],
+        "c": [
+          [1, 2, 1],
+          [0, 0, 0],
+          [0, 1, 1]
+        ],
+        "d": [
+          [2, 3, 0, 6],
+          [0, 1, 0, 2],
+          [0, 0, 2, 3]
+        ]
       },
       "explanations": {
-        "a": "Explanation 1  <a href='www.google.com'>here</a>",
-        "b": "Explanation 2",
-        "c": "Explanation 2",
-        "d": "Explanation 2"
+        "a": "The first non zero element in each row is 1",
+        "b": "First non zero entry in each row is not 1",
+        "c": "Rows with all zero elements , if any are below the rows having a non-zero element",
+        "d": "First non zero entry in each row is not 1"
       },
-      "correctAnswer": "c",
-      "difficulty": "beginner"
+      "correctAnswer": "a",
+      "difficulty": "intermediate"
     }
   ]
 }

experiment/procedure.md

@@ -1 +1,14 @@
-### Procedure
+### Procedure
+## Procedure for the Gaussian Elimination method is as follows:
+
+### Frame the augmented matrix of the given mxn system of linear equations.Reduce the matrix into echelon form by applying elementary row operations
+
+### Row echelon form matrix 2 to be added
+
+### If the row echelon form has row of the form (0 0 ---- 0 | b) where b ≠ 0, then stop. The system is inconsistent and has no solution.
+### If in the row echelon form the number of leading 1's = n, then the system has a unique solution.
+
+### Row echelon form matrix 2 to be added
+
+### If in the row echelon form the number of leading 1's < n, then the system has infinitely many solutions.
+### Back substitution is finally performed to obtain the solution(s).

experiment/references.md

@@ -1 +1,3 @@
-### Link your references in here
+### Link your references in here
+## Linear Algebra with Applications by Steven J. Leon
+## Introduction to linear Algebra by Gilbert Strang

experiment/simulation/css/main.css

@@ -1 +1,140 @@
-/* You CSS goes in here */
+/* You CSS goes in here */
+body {
+    font-family: Arial, sans-serif;
+        background-image: radial-gradient(at 50% 50%, #e0fcff, #eff9ff);
+        font-weight:600;
+    }
+
+
+
+  .container {
+    max-width: 800px;
+    margin: 0 auto;
+    padding: 20px;
+    background-color: rgb(233, 245, 249);
+    border-radius: 5px;
+    box-shadow: 0 20px 40px rgba(22, 75, 89, 0.3);
+  }
+
+  .container::before{
+    backdrop-filter: blur(15px);
+  }
+
+  h1 {
+    margin-top: 0;
+    font-size: 36px;
+  }
+
+  .alert {
+    margin-bottom: 20px;
+    padding: 15px;
+    border-radius: 3px;
+  }
+
+  .alert-info {
+    color: #31708f;
+    background-color: #d9edf7;
+    border-color: #bce8f1;
+  }
+
+  .text-warning {
+    color: #8a6d3b;
+  }
+
+  .text-danger {
+    color: #a94442;
+  }
+
+  .text-success {
+    color: #3c763d;
+  }
+
+  .text-info {
+    color: #31708f;
+  }
+
+  textarea {
+    width: 100%;
+    resize: none;
+    border: 1px solid rgb(67, 44, 44);
+    border-radius: 3px;
+    padding: 10px;
+    box-sizing: border-box;
+    margin-bottom: 20px;
+  }
+
+  #result, #result2, #result3 {
+    border: 1px solid #ccc;
+    border-radius: 3px;
+    padding: 10px;
+    box-sizing: border-box;
+    margin-bottom: 20px;
+    overflow-y: auto;
+    max-height: 300px;
+  }
+
+  #inputAdvancedOutput {
+    margin-right: 10px;
+  }
+
+  #inputAdvancedOutput + label {
+    vertical-align: middle;
+  }
+
+  body {
+    font-family: 'Roboto', sans-serif;
+    font-size: 16px;
+    color: #333;
+    background-color: #f5f5f5;
+  }
+
+  h1,
+h2,
+h3,
+h4,
+h5,
+h6 {
+  background-image: linear-gradient(to right, #0099bf, #5d008b);
+  -webkit-background-clip: text;
+  -webkit-text-fill-color: transparent;
+}
+
+  h1 {
+    font-size: 32px;
+  }
+
+  h2 {
+    font-size: 28px;
+  }
+
+  h3 {
+    font-size: 24px;
+  }
+
+  h4 {
+    font-size: 20px;
+  }
+
+  h5 {
+    font-size: 16px;
+  }
+
+  h6 {
+    font-size: 14px;
+  }
+
+  p {
+    font-size: 16px;
+    line-height: 1.5;
+    margin: 10px 0;
+  }
+
+  a {
+    color: #0066cc;
+    text-decoration: none;
+  }
+
+  a:hover {
+    color: #0044cc
+
+  }

experiment/simulation/index.html

@@ -1,13 +1,46 @@
-<!DOCTYPE html>
 <html>
 <head>
-	<!-- Add CSS at the head of HTML file -->
-    <link rel="stylesheet" href="./css/main.css">
+	<title>Gaussian Ellimination method</title>
+	<link rel="stylesheet" href="./css/main.css">
+
 </head>
-<body>
-		<!-- Your code goes here-->
+<body class="backdrop-blur">
+
+	<div class="container backdrop">
+		<h1 class="text-warning">Gaussian Elimination Simulation</h1>
+		<div class="alert alert-info">For an mxn system of linear equations consisting of m equations having n variables, the input is a mx(n+1) matrix containing the cofficients and the last column being the constants</div>
 
-	<!-- Add JS at the bottom of HTML file --> 
-        <script src="./js/main.js"></script>
-</body>
-</html>
+		<div class="col-md-6">
+			<h3 class="text-danger">Enter the Augmented matrix (Input)</h3>
+			<textarea id="matrixInput" class="form-control" rows="8">
+</textarea>
+			</div>
+
+			<div class="col-md-6">
+				<h3 class="text-info" data-mdb-animation="slide-right">System of linear equations (cofficients only)</h3>
+				<div id="result" class="jumbotron"></div>
+			</div>
+
+			<div class="col-xs-12">
+				<h3 class="text-info">Matrix in row echelon form</h3>
+				<p><input type="checkbox" id="inputAdvancedOutput"/> 	Steps of calculation</p>
+				<div id="result2" class="jumbotron" ></div>
+			</div>
+			<div class="col-xs-12">
+				<h3 class="text-success">Result after back substitution</h3>
+				<div id="result3" class="jumbotron"></div>
+			</div>
+		</div>
+		<script src="./js/main.js"></script>
+		<script>
+			var matrix = [];
+			document.getElementById('matrixInput').onkeyup = function(){
+				gaussian.calculateWholeMatrix('matrixInput', 'result', 'result2', 'result3', document.getElementById("inputAdvancedOutput").checked);
+			};
+			document.getElementById("inputAdvancedOutput").onchange = function(){
+				gaussian.calculateWholeMatrix('matrixInput', 'result', 'result2', 'result3', document.getElementById("inputAdvancedOutput").checked);
+			};
+			gaussian.calculateWholeMatrix('matrixInput', 'result', 'result2', 'result3', document.getElementById("inputAdvancedOutput").checked);
+		</script>
+	</body>
+	</html>