# Matrix Struct

## Definition

Represents a 3 × 3 affine transformation matrix used for transformations in two-dimensional space.

``public value class Matrix``
``````/// [Windows.Foundation.Metadata.ContractVersion(Windows.Foundation.UniversalApiContract, 65536)]
struct Matrix``````
``````[Windows.Foundation.Metadata.ContractVersion(typeof(Windows.Foundation.UniversalApiContract), 65536)]
public struct Matrix``````
``Public Structure Matrix``
``````<Matrix .../>
- or -
<object property="m11,m12,m21,m22,offsetX,offsetY"/>
- or -
<object property="m11 m12 m21 m22 offsetX offsetY"/>
-or-
<object property="Identity"/>
``````
Inheritance
Matrix
Attributes

#### Windows 10 requirements

 Device family Windows 10 (introduced in 10.0.10240.0) API contract Windows.Foundation.UniversalApiContract (introduced in v1.0)

## 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="100" Height="100" Fill="Red">
<Rectangle.RenderTransform>
<MatrixTransform Matrix="1,0,0,1,200,0">
</MatrixTransform>
</Rectangle.RenderTransform>
</Rectangle>
``````

## Remarks

A 3×3 matrix is used for transformations in a two-dimensional x-y 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 row-vectors, not column vectors.

A Matrix is stored using row-major 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 MatrixTransform.Matrix property. Related types can be used for transformation matrices in three-dimensional 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 non-data members available, and its data members are exposed as read-write 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.

## Fields

 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.