JavaScript: Check whether a given matrix is an identity matrix
JavaScript Basic: Exercise-117 with Solution
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)
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