4. Let W be the xy-plane in R³. (a) Find an orthonormal basis ū₁, 2 for W. (b) Construct the matrix Q = [ ₁ 2 ] and calculate the matrix QQT. (c) Consider the linear transformation T : R³ → R³ that projects each vector orthogonally onto the ry-plane. Note that T() = QQT. Use the matrix to calculate T(1), T(2), and T(ē3).

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