Consider the transformation represented by the matrix
What is the image of the square with vertices , , , and under this transformation?
What geometric transformation does this matrix represent?
Describe the geometric effect of the transformation produced by the matrix .
A dilation with center the origin is composed with a rotation about the origin to form a new linear transformation. The transformation formed sends the vector to .
Find the matrix representation of the transformation formed.
Find the scale factor of the original dilation.
The unit square, with vertices , and , is transformed by a rotation and then a dilation. Its image under this combined transformation is , as shown in the diagram.
What are the coordinates of ?
What is the matrix of the combined transformation?
Which of the following compositions of transformations is represented by the matrix ?