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Matrix describing a rotation of the plane
Example of a linear transformation on R^2: generic
Example of a linear transformation on R^2: shear
Example of a linear transformation on R^2: rotation
Example of a linear transformation on R^2: projection
Example of a linear transformation on R^3: rotation

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Example of a linear transformation on R^2: projection

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Example of a linear transformation on R^2: rotationClose match
Example of a linear transformation on R^2: genericClose match
Example of a linear transformation on R^3: rotationClose match
ProjectionClose match
Example of a linear transformation on R^2: shearClose match
Geometric properties of linear transformations on R^2Close match
Visualise a linear transformation on R^2 by looking at the image of a regionClose match
Linear transformationsClose match
Non-example of a linear transformationClose match
A linear transformation is given by a matrix whose columns are the images of the standard basis vectorsClose match
Basic properties of linear transformationsClose match
ExamplesClose match
A linear transformation is given by multiplying by its matrix representation with respect to bases of the spacesClose match
Formula for the (orthogonal) projection of one vector onto another vectorClose match
Definition of (orthogonal) projection of one vector onto another vectorClose match
Geometric properties of linear transformationsClose match
Definition of (orthogonal) projection onto a subspaceClose match
A linear transformation maps 0 to 0.Close match
Example of linear combination of vectors in R^2Close match
The projection of a vector which is in a subspace is the vector itself.Close match

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