In this lesson, we will learn how to find the matrix of linear transformation of rotation at a given angle and the image of a vector under a given rotation linear transformation.

Students will be able to

Q1:

Describe the geometric effect of the transformation produced by the matrix ⎡⎢⎢⎢⎣√22−√22√22√22⎤⎥⎥⎥⎦.

Q2:

A rotation with center the origin sends the vector 34 to 43. Find the matrix representation of this rotation.

Q3:

A linear transformation of a plane sends the vector 10 to 𝑝𝑞. If the transformation is a rotation about the origin, where does it send 01?

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