Examples - pi.science.math.PIMatrix
1. How to multiplicate two matrices ?
Suppose this two matrices (Ax=B):
/* create two matrices */
PIMatrix matrixMultiplicationA = new PIMatrix( 4, 3 );
PIMatrix matrixMultiplicationB = new PIMatrix( 3, 2 );
/* fill data (by rows) */
matrixMultiplicationA.AddValues( new int[] { 2, 0, 1, 3, 4, 2, 1, 1, 0, -1, -2, -3 } );
matrixMultiplicationB.AddValues( new int[] { 1, -1, 2, 1, 3, -2 } );
/* perform A*B */
PIMatrix matrixMultiplication = matrixMultiplicationA.Multiply( matrixMultiplicationB );
/* show result matrix */
Console.WriteLine( matrixMultiplication.AsString( 0 ) );
Output:
5 | -4 |
17 | -3 |
3 | 0 |
-14 | 5 |
Multiplication result:
2. How to perform matrix inversion ?
Suppose this matrix:
/* create matrix */
PIMatrix matrixInverseA = new PIMatrix( 2, 2 );
/* fill data (by rows) */
matrixInverseA.AddValues( new int[] { 1, -2, -3, 8 } );
/* inverse matrix */
PIMatrix matrixInverse = matrixInverseA.Inverse();
/* show result matrix */
Console.WriteLine( matrixInverse.AsString( 1 ) );
Output:
4.0 | 1.0 |
1.5 | 0.5 |
Inversion result:
3. How to calc matrix determinant ?
Suppose this matrix:
/* create matrix */
PIMatrix matrixDeterminant44 = new PIMatrix( 4, 4 );
/* fill data (by rows) */
matrixDeterminant44.AddValues( new int[] { 1, 2, 1, 1, 2, 5, 1, 2, 3, 2, 2, 1, 1, 3, 2, 2 } );
/* compute matrix determinant */
double valueDeterminant44 = matrixDeterminant44.Determinant();
/* show result */
Console.WriteLine( valueDeterminant44 );
Output:
-1.0
4. How to get matrix rank ?
Suppose this matrix:
/* create matrix */
PIMatrix matrixRank = new PIMatrix( 3, 6 );
/* fill data (by rows) */
matrixRank.AddValues(
new int[] { 3, 1, -8, 2, 1, 0, 2 , -2, -3, -7, 2, 0, 1, -5, 2, -16, 3, 0 } );
/* get rank */
int valueRank = matrixRank.Rank();
/* show result */
Console.WriteLine( valueRank );
Output:
2
