Identity Matrix
An identity Matrix is a matrix which is n × n square matrix where the diagonal consist of ones and the other elements are all zeros.
For example an identity matrix of order is will be −
const arr = [ [1, 0, 0], [0, 1, 0], [0, 0, 1] ];
We are required to write a JavaScript function that takes in a number, say n, and returns an identity matrix of n*n order.
Example
Following is the code −
const num = 5;
const constructIdentity = (num = 1) => {
const res = [];
for(let i = 0; i < num; i++){
if(!res[i]){
res[i] = [];
};
for(let j = 0; j < num; j++){
if(i === j){
res[i][j] = 1;
}else{
res[i][j] = 0;
};
};
};
return res;
};
console.log(constructIdentity(num));Output
Following is the output on console −
[ [ 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ] ]