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OpenStudy (anonymous):
Suppose that T : R3 → R2 is given by T [x1 x2 x3] = [x1 x2] The T is called a projection transformation because it projects vectors in R3 onto R2. (a) Prove that T is a linear transformation. (b) Find the matrix A such that T(x) = Ax. (c) Describe the set of vectors in R3 such that T(x) = 0.
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