Question: In each case solve the problem by finding the matrix of the operator. (a) Find the projection of = [0 1 -3]T on the

In each case solve the problem by finding the matrix of the operator.
(a) Find the projection of  = [0 1 -3]T on the plane with equation 2x - y + 4z = 0.
(b) Find the reflection of  = [0 1 -3]T in the plane with equation 2x + y - 5z = 0.
(c) Find the projection of  = [l -1 7]T on the line with equation [x y z]T = t[3 0 4]T.
(d) Find the reflection of  = [2 -5 0]T in the line with equation [x y z]T = t[1 1 -3]T.

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