(b) Find the matrix associated to the linear transformation T below, with respect to the standard basis {e₁,e2, €3} of R³. T : (x, y, z) → (−x, z, y) where x, y, zɛR (c) Explain whether the linear transformation in part (b) is invertible or not. (d) With the basis B for R³ below, find [T]B, the matrix associated to the linear transfor mation T from part (b) with respect to B. B = {(1, 0, 0), (0, 1, 1), (0, −1, 1)}.

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