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Lecture

week 8 lecture notes.pdf

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Department
Mathematics
Course
MATA23H3
Professor
Kathleen Smith
Semester
Winter

Description
The non-invertible linear transformations T : R → R are usually called collapsing linear transformations. 2 They collapse R into a line or a point. We say that v is projected onto p on a line through the origin if (v − p) ⊥ p. The corresponding matrix is called a projection matrix. If T : R → R is rotation of the plane counterclockwise through an angl θ, then th standard matrix representation of T is cosθ −sinθ  A =  .   sinθ cosθ n n Definition: Let S be a subset of R and let
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