Name:Thursday section time:Student ID:Math 20F - Linear Algebra - Spring 2003Quiz #5 — May 15(Do not discuss the quiz with students who haven’t taken it yet – until 8:00pm.)You must show your work in order to get credit for a problem.Label your answers clearly.1.Letf:R2→R2be the linear transformation defined by the followingprocedure. To calculatef(x), first rotatexcounter-clockwise aroundthe origin through an angle of 45◦and, second, orthogonally projectthe resulting vector onto the
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