Microproject-MatrixOperationToolkit/Matrix.html at main · Sadhana-R-S/Microproject-MatrixOperationToolkit · GitHub

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<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <title>🌸 Matrix Operations Toolkit 🌸</title>
  <style>
    body {
      font-family: "Comic Sans MS", cursive, sans-serif;
      text-align: center;
      margin: 0;
      padding: 40px;
      background: linear-gradient(135deg, #ffe6ee, #fff0f1,#ced1f8);
      background-size: 600% 600%;
      animation: gradientShift 15s ease infinite;
      overflow-x: hidden;
    }
    @keyframes gradientShift{
      0%{ background-position: 0% 50%;}
      50%{background-position:100% 50%;}
      100%{background-position:0% 50%;}
    }
    .floating{position:absolute;font-size:40px;animation:float 10s linear infinite;}
    @keyframes float{from{transform:translateY(100vh);opacity:1;}to{transform:translateY(-10vh);opacity:0;}}
    h1{color:#663399;text-shadow:2px 2px #fff;}
    select, input, button{margin:10px;padding:10px;font-size:16px;border-radius:20px;border:2px solid #cc99ff;}
    button{background:#ff007f;color:white;cursor:pointer;box-shadow:0 4px 6px rgba(0,0,0,0.1);transition:0.3s;}
    button:hover{background:#ff66b2;}
    .matrix-container{display:flex;justify-content:space-around;margin:20px auto;width:90%;flex-wrap:wrap;}
    .matrix-grid{display:grid;gap:25px;justify-content:center;}
    .matrix-grid input{width:50px;height:40px;text-align:center;border:2px solid #cc99ff;border-radius:10px;font-size:16px;}
    #result{margin-top:20px;display:grid;gap:8px;justify-content:center;}
    #result div{border:2px solid #b17c82;border-radius:15px;background:#fff;font-weight:bold;font-size:15px;color:#333;height:40px;line-height:40px;box-shadow:0 3px 6px rgba(0,0,0,0.1);padding:0 10px;}
  </style>
</head>
<body>
  <h1>🌸 MATRIX OPERATIONS 🌸</h1>
  <h2>Under a Minute</h2>

  <div>
    <label><b>Choose Operation:</b></label>
    <select id="operation">
      <option value="">-- Select --</option>
      <option value="add">➕ Add</option>
      <option value="subtract">➖ Subtract</option>
      <option value="multiply">✖ Multiply</option>
      <option value="determinant">📐 Determinant</option>
      <option value="inverse">🔄 Inverse</option>
      <option value="transpose">🔁 Transpose</option>
      <option value="rowechelon">📏 Row Echelon Form</option>
      <option value="rank">🎯 Rank</option>
    </select>

    <label><b>Rows:</b></label>
    <input type="number" id="rows" value="3" min="1">
    <label><b>Columns:</b></label>
    <input type="number" id="cols" value="3" min="1">
    <button onclick="setupMatrices()">✨ Create Matrices ✨</button>
  </div>

  <div class="error" id="error"></div>
  <div class="matrix-container" id="matrices"></div>
  <button onclick="calculate()">💡 Calculate 💡</button>

  <h2>🎀 Result 🎀</h2>
  <div id="result"></div>

  <button onclick="location.href='index.html'">🏠 Back to Home</button>

  <script>
    function setupMatrices() {
      const op = document.getElementById("operation").value;
      const rows = +document.getElementById("rows").value;
      const cols = +document.getElementById("cols").value;
      const error = document.getElementById("error");
      const container = document.getElementById("matrices");
      error.textContent = "";
      container.innerHTML = "";

      if (!op) return error.textContent = "⚠️ Choose an operation!";
      if (rows <= 0 || cols <= 0) return error.textContent = "⚠️ Rows/Columns must be positive!";

      let num = (["determinant","inverse","transpose","rowechelon","rank"].includes(op)) ? 1 : 2;
      for (let m=0; m<num; m++) {
        let div = document.createElement("div");
        div.className = "matrix";
        div.innerHTML = `<h2>Matrix ${String.fromCharCode(65+m)}</h2>`;
        let grid = document.createElement("div");
        grid.className = "matrix-grid";
        grid.style.gridTemplateColumns = `repeat(${cols}, 50px)`;
        for (let i=0; i<rows*cols; i++) {
          let input=document.createElement("input");
          input.type="number";
          input.value=0;
          grid.appendChild(input);
        }
        div.appendChild(grid);
        container.appendChild(div);
      }
    }

    function getMatrix(index) {
      let grid = document.querySelectorAll(".matrix-grid")[index];
      let inputs = grid.querySelectorAll("input");
      let rows = +document.getElementById("rows").value;
      let cols = +document.getElementById("cols").value;
      let m=[];
      for(let r=0;r<rows;r++){
        let row=[];
        for(let c=0;c<cols;c++) row.push(Number(inputs[r*cols+c].value));
        m.push(row);
      }
      return m;
    }

    function displayResult(matrix) {
      const result = document.getElementById("result");
      result.innerHTML="";
      if(!Array.isArray(matrix[0])) matrix=[[matrix]];
      result.style.gridTemplateColumns = `repeat(${matrix[0].length},60px)`;
      for(let r=0;r<matrix.length;r++){
        for(let c=0;c<matrix[0].length;c++){
          let cell=document.createElement("div");
          cell.textContent=isNaN(matrix[r][c])?"":matrix[r][c].toFixed(2);
          result.appendChild(cell);
        }
      }
    }

    function calculate() {
      const op=document.getElementById("operation").value;
      const A=getMatrix(0);
      const B=(["add","subtract","multiply"].includes(op))?getMatrix(1):null;
      const error=document.getElementById("error");
      error.textContent="";
      let result;

      try {
        switch(op){
          case "add": result=A.map((r,i)=>r.map((v,j)=>v+B[i][j])); break;
          case "subtract": result=A.map((r,i)=>r.map((v,j)=>v-B[i][j])); break;
          case "multiply":
            if(A[0].length!==B.length) throw "Cols of A must equal rows of B!";
            result=A.map(r=>Array(B[0].length).fill(0));
            for(let i=0;i<A.length;i++)
              for(let j=0;j<B[0].length;j++)
                for(let k=0;k<A[0].length;k++)
                  result[i][j]+=A[i][k]*B[k][j];
            break;
          case "determinant": result=[[determinant(A)]]; break;
          case "inverse": result=inverse(A); break;
          case "transpose": result=transpose(A); break;
          case "rowechelon": result=rowEchelon(A); break;
          case "rank": result=[[rank(A)]]; break;
          default: throw "Unknown operation!";
        }
        displayResult(result);
      } catch(e){ error.textContent="⚠️ "+e; }
    }

    function determinant(m){
      if(m.length===1) return m[0][0];
      if(m.length===2) return m[0][0]*m[1][1]-m[0][1]*m[1][0];
      let det=0;
      for(let c=0;c<m.length;c++){
        let sub=m.slice(1).map(r=>r.filter((_,j)=>j!==c));
        det+=((c%2===0?1:-1)*m[0][c]*determinant(sub));
      }
      return det;
    }

    function inverse(m){
      let det=determinant(m);
      if(det===0) throw "Matrix is singular (no inverse)!";
      let n=m.length;
      let adj=Array.from({length:n},()=>Array(n).fill(0));
      for(let i=0;i<n;i++)
        for(let j=0;j<n;j++){
          let sub=m.filter((_,r)=>r!==i).map(r=>r.filter((_,c)=>c!==j));
          adj[j][i]=(((i+j)%2===0?1:-1)*determinant(sub))/det;
        }
      return adj;
    }

    function transpose(m){
      return m[0].map((_,i)=>m.map(r=>r[i]));
    }

    // Correct Row Echelon Form (REF)
    function rowEchelon(m){
      let A = m.map(r=>r.slice());
      let rows = A.length, cols = A[0].length;
      let pivotRow = 0;
      const eps = 1e-12;

      for (let col=0; col<cols && pivotRow<rows; col++){
        // Find pivot row
        let maxRow = pivotRow;
        for (let r=pivotRow+1; r<rows; r++)
          if(Math.abs(A[r][col])>Math.abs(A[maxRow][col])) maxRow=r;
        if(Math.abs(A[maxRow][col])<eps) continue; // skip zero column

        [A[pivotRow], A[maxRow]] = [A[maxRow], A[pivotRow]]; // swap pivot

        // Eliminate rows below
        for(let r=pivotRow+1; r<rows; r++){
          let factor = A[r][col]/A[pivotRow][col];
          for(let c=col; c<cols; c++){
            A[r][c] -= factor*A[pivotRow][c];
            if(Math.abs(A[r][c])<eps) A[r][c]=0;
          }
        }
        pivotRow++;
      }
      return A;
    }

    function rank(m){
      let ref = rowEchelon(m);
      const eps = 1e-10;
      return ref.filter(row=>row.some(v=>Math.abs(v)>eps)).length;
    }
  </script>
</body>
</html>