NormalizeColumns Method

Normalizes columns of the current matrix according to the specified mode.

Syntax

MatrixObject.NormalizeColumns(NormalizeMode)

Parameters

NormalizeMode: Optional. A NormalizeModeEnum value specifying the mode that the matrix columns will be normalized.

The following table describes the possible values for the NormalizeMode parameter.

Constant	Description	Value
bmModeMaxOne	Normalizes columns so that the biggest element in each column is 1.	1
bmModeUnitLength	(Default) Normalizes columns so that they become unit length vectors (their sum of squares is 1).	2
bmModeZScores	Normalizes columns to z scores (having zero mean and unit standard deviation).	3

Example

This example demonstrates the use of NormalizeColumns method. A matrix is defined and then its columns are normalized according to the three different modes.

Private Sub MatrixNormalizeColumns()

Dim A As Matrix, Norm As Double
    
    Set A = New Matrix
    A.Size 4, 4
    A.FillRandom
    Debug.Print "A ="
    Debug.Print A.GetString
    
    A.NormalizeColumns bmModeMaxOne
    Debug.Print "NormalizeMode = bmModeMaxOne"
    Debug.Print A.GetString
    A.NormalizeColumns bmModeUnitLen
    Debug.Print "NormalizeMode = bmModeUnitLength"
    Debug.Print A.GetString
    A.NormalizeColumns bmModeZScores
    Debug.Print "NormalizeMode = bmModeZScores"
    Debug.Print A.GetString
    
End Sub

Output

A =
| 6.000 2.000 8.000 6.000 |
| 5.000 4.000 9.000 8.000 |
| 7.000 2.000 9.000 7.000 |
| 5.000 3.000 0.000 1.000 |

NormalizeMode = bmModeMaxOne
| 0.857 0.500 0.889 0.750 |
| 0.714 1.000 1.000 1.000 |
| 1.000 0.500 1.000 0.875 |
| 0.714 0.750 0.000 0.125 |

NormalizeMode = bmModeUnitLength
| 0.516 0.348 0.532 0.490 |
| 0.430 0.696 0.599 0.653 |
| 0.602 0.348 0.599 0.572 |
| 0.430 0.522 0.000 0.082 |

NormalizeMode = bmModeZScores
|  0.302 -0.905  0.397  0.186 |
| -0.905  1.508  0.662  0.928 |
|  1.508 -0.905  0.662  0.557 |
| -0.905  0.302 -1.722 -1.671 |

Syntax

Parameters

Example

Output

See Also