Consider the linear transformation T: R3 R2 defined by T(x, y, z) = ( x - y, x + z)

Chapter 4, Problem 28

(choose chapter or problem)

Consider the linear transformation T: R3 R2 defined by T(x, y, z) = ( x - y, x + z). Find and sketch the set of vectors that are mapped by Tinto the vector ( 1, 4). Is this set a subspace?

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