Data update

Task/Pascal-matrix-generation/MATLAB/pascal-matrix-generation.m

@@ -0,0 +1,43 @@
+clear all;close all;clc;
+
+size = 5; %  size of Pascal matrix
+
+% Generate the symmetric Pascal matrix
+symPascalMatrix = symPascal(size);
+
+% Generate the upper triangular Pascal matrix
+upperPascalMatrix = upperPascal(size);
+
+% Generate the lower triangular Pascal matrix
+lowerPascalMatrix = lowerPascal(size);
+
+% Display the matrices
+disp('Upper Pascal Matrix:');
+disp(upperPascalMatrix);
+
+disp('Lower Pascal Matrix:');
+disp(lowerPascalMatrix);
+
+disp('Symmetric Pascal Matrix:');
+disp(symPascalMatrix);
+
+
+function symPascal = symPascal(size)
+    % Generates a symmetric Pascal matrix of given size
+    row = ones(1, size);
+    symPascal = row;
+    for k = 2:size
+        row = cumsum(row);
+        symPascal = [symPascal; row];
+    end
+end
+
+function upperPascal = upperPascal(size)
+    % Generates an upper triangular Pascal matrix using Cholesky decomposition
+    upperPascal = chol(symPascal(size));
+end
+
+function lowerPascal = lowerPascal(size)
+    % Generates a lower triangular Pascal matrix using Cholesky decomposition
+    lowerPascal = chol(symPascal(size))';
+end