Dim dimensions As Integer() = New Integer() {2, 2, 2}
Dim elements As Double() = New Double() {0, 1, 2, 3, 4, 5, 6, 7}
Dim x As New Matrix(elements, dimensions)
The Infragistics Math Library™ offers several approaches to creating matrices. Though this topic demonstrates how to create only Matrix instances, the approaches shown apply to all matrix types – Matrix, BooleanMatrix, and ComplexMatrix. This is because the matrices and vectors classes in the Infragistics Math Library are all derived from the MatrixBase class – so their instances are created and used in common ways.
Following is a list of the possible ways to create a matrix:
Each of them is explained in an individual sub-section below. In addition to these approaches, some other ways to create a matrix are covered in the Other Approaches section at the end of the topic.
The most general constructor for the Matrix class takes any IList<double> object containing the matrix elements, together with an integer array specifying the dimensions of the matrix. The product of the items in the dimensions array must be equal to the length of the array with the elements, otherwise an exception will be thrown.
The following code example creates a three-dimensional matrix – each dimension has 2 elements, with a total of 8 elements.
In Visual Basic:
Dim dimensions As Integer() = New Integer() {2, 2, 2}
Dim elements As Double() = New Double() {0, 1, 2, 3, 4, 5, 6, 7}
Dim x As New Matrix(elements, dimensions)
In C#:
int[] dimensions = new int[]{ 2, 2, 2 };
double[] elements = new double[]{ 0, 1, 2, 3, 4, 5, 6, 7 };
Matrix x = new Matrix(elements, dimensions);
This approach creates a row matrix. With it, a matrix can be created by specifying only its elements – this will create a matrix of one row and as many columns as there are elements.
The following code example creates a row matrix:
In Visual Basic:
Dim elements As Double() = New Double(4) {}
Dim x As New Matrix(elements)
In C#:
double[] elements = new double[5]; Matrix x = new Matrix(elements);
This approach creates a zero row matrix. Passing in an integer length into the constructor produces a row matrix filled with zeros:
In Visual Basic:
Dim length As Integer = 5 Dim x As New Matrix(length)
In C#:
int length = 5; Matrix x = new Matrix(length);
This approach creates a row matrix consisting of same elements. It is constructed by passing in a double and integer length as parameters:
In Visual Basic:
'A length 10 row Matrix with all elements equal to 1. Dim x As New Matrix(1, 10)
In C#:
//A length 10 row Matrix with all elements equal to 1. Matrix x = new Matrix(1, 10);
Since a multidimensional array is a type of matrix, it can be used to create a Matrix instance:
In Visual Basic:
'A two-dimensional Matrix.
Dim elements As Double(,) = New Double(,) {{1, 2}, {3, 4}}
Dim x As New Matrix(elements)
In C#:
//A two-dimensional Matrix.
double[,] elements = new double[,] { { 1, 2 }, { 3, 4 } };
Matrix x = new Matrix(elements);
The following snippets demonstrate several other approaches for creating a matrix:
In Visual Basic:
'A unitary Matrix. Dim x As Matrix = 1
In C#:
//A unitary Matrix. Matrix x = 1;
[[4-dimesnional_Matrix]] === Creating a 4-Dimesnional Matrix
In Visual Basic:
'A 4-dimensional Matrix of zeros. Dim x As Matrix = Compute.Zeros(3, 3, 3, 3)
In C#:
//A 4-dimensional Matrix of zeros. Matrix x = Compute.Zeros(3, 3, 3, 3);
In Visual Basic:
'A 10 x 10 identity Matrix filled with zeros and ones on the diagonal. Dim x As Matrix = Compute.IdentityMatrix(10)
In C#:
//A 10 x 10 identity Matrix filled with zeros and ones on the diagonal. Matrix x = Compute.IdentityMatrix(10);
In Visual Basic:
'A 3-dimensional Matrix with all elements equal to 1.
Dim dimensions As Integer() = New Integer() {2, 2, 2}
Dim x As New Matrix(1, dimensions)
In C#:
//A 3-dimensional Matrix with all elements equal to 1.
int[] dimensions = new int[]{ 2, 2, 2 };
Matrix x = new Matrix(1, dimensions);