Question: please help thanks Let T : R3 _> R3 be the linear operator defined by Arty - 3z = - y I + 7z (a)

please help thanks

Let T : R3 _> R3 be the linear operator defined by Arty - 3z = - y I + 7z (a) Compute the matrix of T with respect to the standard basis &3 = (e1, e2, e3). (b) Prove that the 2-dimensional subspace : I,ZER is an invariant subspace of T. (c) Prove that the 1-dimensional subspace :yER is not an invariant subspace of T

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