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MatrixUtils

Overview

The MatrixUtils class provides various utility methods for matrix operations, including matrix multiplication, transposition, determinant calculation, and inversion.

Key Methods

1. multiplyMatrices(double[][], double[][])
   Multiplies two matrices and returns the result as a new matrix.

   double[][] matrixA = {{1, 2}, {3, 4}};
   double[][] matrixB = {{2, 0}, {1, 2}};
   double[][] product = MatrixUtils.multiplyMatrices(matrixA, matrixB);
   

2. transposeMatrix(double[][])
   Computes the transpose of a matrix.

   double[][] matrix = {{1, 2, 3}, {4, 5, 6}};
   double[][] transposed = MatrixUtils.transposeMatrix(matrix);
   

3. calculate2x2MatrixDeterminant(double[][])
   Calculates the determinant of a 2x2 matrix.

   double[][] matrix = {{1, 2}, {3, 4}};
   double determinant = MatrixUtils.calculate2x2MatrixDeterminant(matrix);
   

4. invert2x2Matrix(double[][])
   Calculates the inverse of a 2x2 matrix.

   double[][] matrix = {{4, 7}, {2, 6}};
   double[][] inverse = MatrixUtils.invert2x2Matrix(matrix);
   

Usage Notes

• Error Handling: If the matrix dimensions are incompatible with the operation (e.g., not 2x2 for determinant calculation or inversion), the method throws an appropriate exception and logs an error message.
• Utility Design: This class cannot be instantiated, as it contains a private constructor and only static methods.

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