Linear Algebra Worksheet - University of Texas at Austin

Linear Algebra Worksheet 3.Let w 2R2 be a xed vector. Let f(v) = I wwT kwk2 v; for vectors v 2R2 in the plane, where I= 1 0 0 1 is the identity matrix. (a)(2 points) Is this function linear? If not, provide a counterexample.


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