(1) Consider the linear map given by T(x, y, z) = (2x - z, z-y, 2z - x) (a) Find its matrix representation (with respect

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1 Consider The Linear Map Given By T X Y Z 2x Z Z Y 2z X A Find Its Matrix Representation With Respect 1 (34.46 KiB) Viewed 42 times

(1) Consider the linear map given by T(x, y, z) = (2x - z, z-y, 2z - x) (a) Find its matrix representation (with respect to the standard basis of R³), that is, [T]. (b) Show that B = {(1, -1, 1), (0, -1, 1), (1, -1,0)} is a basis of R3³ and find the change of bases matrices [id] and [id]. (c) Compute the matrix representation of Twith respect to the basis 3, that is, [T]