Question: . Let T: R R be the linear transformation such that T(e) = (1, 0, -1), T(e) = (-1,1,0), and T(e3) (0, -1, 1).

. Let T: R R be the linear transformation such that T(e)

. Let T: R R be the linear transformation such that T(e) = (1, 0, -1), T(e) = (-1,1,0), and T(e3) (0, -1, 1). (a) Find the matrix of T with respect to the standard bases. (b) Find T(1,-1,1). (c) Find the set of all points x = (x1, x2, x3) in R such that T(x) = 0.

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