JavaScript: Check whether a given matrix is an identity matrix

JavaScript Basic: Exercise-117 with Solution

Check if Matrix is Identity Matrix

Write a JavaScript program to check whether a given matrix is an identity matrix.

Note: In linear algebra, the identity matrix, or sometimes ambiguously called a unit matrix, of size n is the n × n square matrix with ones on the main diagonal and zeros elsewhere.
[[1, 0, 0], [0, 1, 0], [0, 0, 1]] -> true
[[1, 0, 0], [0, 1, 0], [1, 0, 1]] -> false

Visual Presentation:

Sample Solution:

JavaScript Code:

// Function to check if the given matrix is an identity matrix
function is_identity_Matrix(matrix_data) {
  // Checks whether given matrix is a square matrix or not
  for (var i = 0; i < matrix_data.length; i++) {
    rows = matrix_data.length;
    cols = matrix_data[i].length;
    if (rows != cols) {
      console.log("Matrix should be a square matrix");
      return false;
    }
  }
  // Loop to verify if the matrix is an identity matrix
  for (var i = 0; i < matrix_data.length; i++) {
    for (var j = 0; j < matrix_data.length; j++) {
      if (matrix_data[i][j] !== 1 && i === j || matrix_data[i][j] && i !== j) {
        return false;
      }
    }
  }
  return true; // Returns true if the matrix is an identity matrix
}

// Testing the function with sample inputs
console.log(is_identity_Matrix([[1, 0, 0, 2], [0, 1, 0], [0, 0, 1]])); // Output: false (not a square matrix)
console.log(is_identity_Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])); // Output: true (identity matrix)
console.log(is_identity_Matrix([[1, 0, 1], [0, 1, 0], [0, 0, 1]])); // Output: false (not an identity matrix)  

Output:

Matrix should be a square matrix
false
true
false

Live Demo:

See the Pen javascript-basic-exercise-117 by w3resource (@w3resource) on CodePen.

Flowchart:

ES6 Version:

// Function to check if the given matrix is an identity matrix
const is_identity_Matrix = (matrix_data) => {
  // Checks whether the given matrix is a square matrix
  for (let i = 0; i < matrix_data.length; i++) {
    const rows = matrix_data.length;
    const cols = matrix_data[i].length;
    if (rows !== cols) {
      console.log("Matrix should be a square matrix");
      return false;
    }
  }

  // Verifies if the matrix is an identity matrix
  for (let i = 0; i < matrix_data.length; i++) {
    for (let j = 0; j < matrix_data.length; j++) {
      if ((matrix_data[i][j] !== 1 && i === j) || (matrix_data[i][j] && i !== j)) {
        return false;
      }
    }
  }
  return true; // Returns true if the matrix is an identity matrix
};

// Testing the function with sample inputs
console.log(is_identity_Matrix([[1, 0, 0, 2], [0, 1, 0], [0, 0, 1]])); // Output: false (not a square matrix)
console.log(is_identity_Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]])); // Output: true (identity matrix)
console.log(is_identity_Matrix([[1, 0, 1], [0, 1, 0], [0, 0, 1]])); // Output: false (not an identity matrix)

For more Practice: Solve these Related Problems:

• Write a JavaScript program that verifies whether a given square matrix is an identity matrix by checking that diagonal elements are 1 and others 0.
• Write a JavaScript function that iterates through a matrix and returns true only if it meets identity matrix criteria.
• Write a JavaScript program that compares each element of a matrix against the identity matrix properties, handling non-square inputs gracefully.

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• JavaScript basic Exercises Home ↩
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