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3. (10 points) Consider the plane 'P in R3 given by :1: y 22 = 0. (a) Find a matrix A whose columns are a

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3. (10 points) Consider the plane 'P in R3 given by :1: y 22 = 0. (a) Find a matrix A whose columns are a basis for 'P. (b) Compute P = A(ATA)_1AT, which is the projection matrix onto 'P. (c) Find a vector 6 that is orthogonal to 'P. (d) Compute the projection matrix Q = eeT/eTe and I Q. (e) How are P and Q related

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