How to use Loops In Javascript
The sum of squares for the normal and the sum of diagonal elements for the trace are calculated iteratively using for loop via the matrix elements.
Example: To demonstrate the use of the function to computer the normal and trace of a given matrix using JavaScript’s nested loops.
Javascript
function calculateNormalAndTrace(matrix) { let normalSum = 0; let traceSum = 0; for (let i = 0; i < matrix.length; i++) { for (let j = 0; j < matrix[i].length; j++) { normalSum += Math.pow(matrix[i][j], 2); if (i === j) { traceSum += matrix[i][j]; } } } const normal = Math.sqrt(normalSum); return { normal, trace: traceSum }; } const matrix = [ [1, 2, 3], [4, 5, 6], [7, 8, 9] ]; const { normal, trace } = calculateNormalAndTrace(matrix); console.log( "Normal:" , normal); console.log( "Trace:" , trace); |
Normal: 16.881943016134134 Trace: 15
JavaScript Program to Find the Normal and Trace of a Matrix
JavaScript provides us with ways to find a square matrix’s normal and trace. In linear algebra, the total number of entries on the principal diagonal is indicated by the trace, while the normal represents the size of the matrix overall. It is critical to understand these concepts in a variety of computational and mathematical applications.