transform to orthognal matrix in javascript

index.tsx
function toOrthogonal(matrix) {
  const n = matrix.length;
  // Copy the input matrix
  const Q = matrix.map(row => [...row])
  // Iterate over columns
  for (let j = 0; j < n; j++) {
    // Iterate over previous columns
    for (let i = 0; i < j; i++) {
      let dot = 0;
      // Calculate the dot product
      for (let k = 0; k < n; k++) {
        dot += Q[k][i] * Q[k][j];
      }
      // Subtract the projection
      for (let k = 0; k < n; k++) {
        Q[k][j] -= dot * Q[k][i];
      }
    }
    // Normalize the column
    let norm = 0;
    for (let k = 0; k < n; k++) {
      norm += Q[k][j] ** 2;
    }
    norm = Math.sqrt(norm);
    if (norm === 0) {
      throw new Error("Cannot orthogonalize matrix with zero columns");
    }
    for (let k = 0; k < n; k++) {
      Q[k][j] /= norm;
    }
  }
  return Q;
}
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