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
Pictorial Presentation:
Sample Solution:
HTML Code:
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width">
<title> Check if a given matrix is an identity matrix</title>
</head>
<body>
</body>
</html>
JavaScript Code:
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;
}
}
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;
}
console.log(is_identity_Matrix([[1, 0, 0, 2], [0, 1, 0], [0, 0, 1]]))
console.log(is_identity_Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]]))
console.log(is_identity_Matrix([[1, 0, 1], [0, 1, 0], [0, 0, 1]]))
Sample Output:
Matrix should be a square matrix false true false
Flowchart:
ES6 Version:
function is_identity_Matrix(matrix_data) {
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;
}
console.log(is_identity_Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]]))
console.log(is_identity_Matrix([[1, 0, 1], [0, 1, 0], [0, 0, 1]]))
Live Demo:
See the Pen javascript-basic-exercise-117 by w3resource (@w3resource) on CodePen.
Improve this sample solution and post your code through Disqus
Previous: Write a JavaScript program to find all the possible options to replace the hash in a string (Consists of digits and one hash (#)) with a digit to produce an integer divisible by 3.
Next: Write a JavaScript program to check whether a given number is in a given range.
What is the difficulty level of this exercise?
Test your Programming skills with w3resource's quiz.
JavaScript: Tips of the Day
How to insert an item into an array at a specific index (JavaScript)?
What you want is the splice function on the native array object.
arr.splice(index, 0, item); will insert item into arr at the specified index (deleting 0 items first, that is, it's just an insert). In this example we will create an array and add an element to it into index 2:
var arr = []; arr[0] = "Jani"; arr[1] = "Hege"; arr[2] = "Stale"; arr[3] = "Kai Jim"; arr[4] = "Borge"; console.log(arr.join()); arr.splice(2, 0, "Lene"); console.log(arr.join());
Ref: https://bit.ly/2BXbp04
- New Content published on w3resource:
- HTML-CSS Practical: Exercises, Practice, Solution
- Java Regular Expression: Exercises, Practice, Solution
- Scala Programming Exercises, Practice, Solution
- Python Itertools exercises
- Python Numpy exercises
- Python GeoPy Package exercises
- Python Pandas exercises
- Python nltk exercises
- Python BeautifulSoup exercises
- Form Template
- Composer - PHP Package Manager
- PHPUnit - PHP Testing
- Laravel - PHP Framework
- Angular - JavaScript Framework
- Vue - JavaScript Framework
- Jest - JavaScript Testing Framework