Question: In each case, show that T is not a linear transformation. (a) T: Mn,n R; T(A) = det A (b) T: Mn,n R;

In each case, show that T is not a linear transformation.
(a) T: Mn,n → R; T(A) = det A
(b) T: Mn,n → R; T(A) = rank A
(c) T: (R → R; T(x) = x2
(d) T: V → V; T(v) = v + u where u ≠ 0 is a fixed vector in V (T is called the translation by u)

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