JavaScript: Check whether a matrix is a diagonal matrix or not

JavaScript Basic: Exercise-115 with Solution

Check if Matrix is Diagonal Matrix

Write a JavaScript program to check whether a matrix is a diagonal matrix or not. In linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero (the diagonal from the upper left to the lower right).

Example:
[1, 0, 0], [0, 2, 0], [0, 0, 3] ]) = true
[1, 0, 0], [0, 2, 3], [0, 0, 3] ]) = false

Visual Presentation:

Sample Solution:

JavaScript Code:

// Function to check if a matrix is a diagonal matrix
const is_diagonal_matrix = (user_matrix) => {
    // Loop through each row of the matrix
    for (let i = 0; i < user_matrix.length; i++) {
        // Loop through each element in the row
        for (let j = 0; j < user_matrix.length; j++) {
            // Check if the element is non-zero when it's not on the diagonal (i !== j)
            if (i !== j && user_matrix[i][j] !== 0) 
              return false; // Return false if non-zero value is found off the diagonal
        }
    }
    return true; // Return true if all non-diagonal elements are zero
}

// Testing the function with sample matrix inputs
console.log(is_diagonal_matrix([[1, 0, 0], [0, 2, 0], [0, 0, 3]])); // Output: true (Diagonal matrix)
console.log(is_diagonal_matrix([[1, 0, 0], [0, 2, 3], [0, 0, 3]])); // Output: false (Non-diagonal elements present) 

Output:

true
false

Live Demo:

See the Pen javascript-basic-exercise-115 by w3resource (@w3resource) on CodePen.

Flowchart:

ES6 Version:

// Function to check if a matrix is a diagonal matrix
const is_diagonal_matrix = (user_matrix) => {
    // Loop through each row of the matrix
    for (let i = 0; i < user_matrix.length; i++) {
        // Loop through each element in the row
        for (let j = 0; j < user_matrix.length; j++) {
            // Check if the element is non-zero when it's not on the diagonal (i !== j)
            if (i !== j && user_matrix[i][j] !== 0) {
                return false; // Return false if non-zero value is found off the diagonal
            }
        }
    }
    return true; // Return true if all non-diagonal elements are zero
}

// Testing the function with sample matrix inputs
console.log(is_diagonal_matrix([[1, 0, 0], [0, 2, 0], [0, 0, 3]])); // Output: true (Diagonal matrix)
console.log(is_diagonal_matrix([[1, 0, 0], [0, 2, 3], [0, 0, 3]])); // Output: false (Non-diagonal elements present)

For more Practice: Solve these Related Problems:

• Write a JavaScript program that checks if a square matrix is diagonal by confirming that all off-diagonal elements are zero.
• Write a JavaScript function that iterates through a matrix and returns true only if non-diagonal entries are all zero.
• Write a JavaScript program that validates a matrix as diagonal by comparing each element's row and column indices.

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