Lower Triangular Matrix

Program to execute the lower triangular matrix. A triangular matrix is a type of square matrix in the mathematical discipline of linear algebra. If all of the entries above the main diagonal are zero, a square matrix is called lower triangular. Similarly, if all of the entries below the major diagonal are zero, a square matrix is called upper triangular.

Rows and Columns in Java

The first dimension of an image array in image processing is the column, and the second dimension is the row. The first dimension of an array (or matrix) is the row, and the second dimension is the column, according to standard linear algebra notation. By using this program we can implement in lower triangular matrix in java.

Rows and columns are the horizontal and vertical lines of entries in a matrix, respectively. A matrix’s size is determined by the number of rows and columns it contains. An m n matrix, also known as a m -by-n matrix, is a matrix with m rows and n columns, having the dimensions m and n.

Lower Triangular Matrix in Java

A matrix is a set of numbers organised into a predetermined number of rows and columns.” These are usually real numbers. If you specify an integer array int arr[3][3], for example, the matrix will have three rows and three columns. This is sample program to execute the Lower Triangular Matrix in Java.

If all of the entries above the main diagonal are zero, a square matrix is called lower triangular. Similarly, if all of the entries below the major diagonal are zero, a square matrix is called upper triangular. Matrix equations with triangular matrices are highly useful in numerical analysis because they are easier to solve.

2D Array in Java

2D arrays are stored as arrays of arrays in Java. As a result, the declaration of 2D arrays is similar to that of 1D array objects. 2D arrays are declared by using two sets of square brackets after defining a data type.

An array of arrays can be defined as a two-dimensional array. The matrices that make up the 2D array are represented as a collection of rows and columns. 2D arrays, on the other hand, are used to implement a data structure that resembles that of a relational database. We can execute the program to Lower Triangular Matrix in Java for beginners.

public class Main 
{ 
public static void main(String[] args) 
{ 
int rows, cols; 
int a[][] = { 
{5, 2, 3}, 
{8, 6, 4}, 
{5, 5, 6} 
}; 
rows = a.length; 
cols = a[0].length; 
if(rows != cols){ 
System.out.println("Matrix should be a square matrix"); 
} 
else { 
System.out.println("Lower triangular matrix is "); 
for(int i = 0; i < rows; i++){ 
for(int j = 0; j < cols; j++){ 
if(j > i) 
System.out.print("0 "); 
else 
System.out.print(a[i][j] + " "); 
} 
System.out.println(); 
} 
} 
} 
} 

Output:

Lower triangular matrix is
5 0 0
8 6 0
5 5 6