Matrix Matrix Matrix Struct
Represents a 3 × 3 affine transformation matrix used for transformations in twodimensional space.
Syntax
Declaration
public struct Matrix
public struct Matrix
Public Structure Matrix
<Matrix .../>
Remarks
A 3×3 matrix is used for transformations in a twodimensional xy plane. Affine transformation matrices can be multiplied to form any number of linear transformations, such as rotation and skew (shear), followed by translation. An affine transformation matrix has its final column equal to (0, 0, 1), so only the members in the first two columns need to be specified. Note that vectors are expressed as rowvectors, not column vectors.
A Matrix is stored using rowmajor order and has the following structure:
M11  M12  0 
M21  M22  0 
OffsetX  OffsetY  1 
The members in the last row, OffsetX and OffsetY, represent translation values.
In methods and properties, the transformation matrix is usually specified as a vector with only six members, as follows: (M11, M12, M21, M22, OffsetX, OffsetY)
Although you can use a Matrix structure directly to translate individual points, or with a MatrixTransform to transform objects, the Windows Runtime also provides a set of classes that can transform objects without working directly with matrices:
Properties of a Matrix can be animated (as one or more DoubleAnimation animations or DoubleAnimationUsingKeyFrames ).
Matrix is the property value for the Matrix property. Related types can be used for transformation matrices in threedimensional space and then used for a projection. See Matrix3D and Matrix3DProjection.
Language projections and members of Matrix
If you are using a Microsoft .NET language (C# or Microsoft Visual Basic), or in Visual C++ component extensions (C++/CX) then Matrix has nondata members available, and its data members are exposed as readwrite properties, not fields.
If you are programming with C++ using the Windows Runtime Template Library (WRL), then only the data member fields exist as members of Matrix, and you cannot use the utility methods or properties listed in the members table. WRL code can access similar utility methods that exist on the MatrixHelper class.
Examples
This example XAML defines a Matrix that provides data for a MatrixTransform applied to a rectangular shape. In this case, the matrix combines an offset (OffsetX and OffsetY ) and a skew (M12 ). Note that this same effect could have been produced by combining a TranslateTransform and a SkewTransform. Whether to use a single Matrix or combinations of discrete transforms is a matter of coding style; the results are identical.
<Rectangle Width="60" Height="60" Fill="Blue">
<Rectangle.RenderTransform>
<MatrixTransform>
<MatrixTransform.Matrix >
<! This matrix transforms the x,y position of
the rectangle and skews it. >
<Matrix OffsetX="30" OffsetY="100" M12="0.5" />
</MatrixTransform.Matrix>
</MatrixTransform>
</Rectangle.RenderTransform>
</Rectangle>
Fields summary
The value of the first row and first column of this Matrix structure. 

The value of the first row and second column of this Matrix structure. 

The value of the second row and first column of this Matrix structure. 

The value of the second row and second column of this Matrix structure. 

Gets or sets the value of the third row and first column of this Matrix structure. 

Gets or sets the value of the third row and second column of this Matrix structure. 
Fields

M11M11M11M11
The value of the first row and first column of this Matrix structure.
public field double M11
public field double M11
Public Field M11

M12M12M12M12
The value of the first row and second column of this Matrix structure.
public field double M12
public field double M12
Public Field M12

M21M21M21M21
The value of the second row and first column of this Matrix structure.
public field double M21
public field double M21
Public Field M21

M22M22M22M22
The value of the second row and second column of this Matrix structure.
public field double M22
public field double M22
Public Field M22

OffsetXOffsetXOffsetXOffsetX
Gets or sets the value of the third row and first column of this Matrix structure.
public field double OffsetX
public field double OffsetX
Public Field OffsetX

OffsetYOffsetYOffsetYOffsetY
Gets or sets the value of the third row and second column of this Matrix structure.
public field double OffsetY
public field double OffsetY
Public Field OffsetY