In each case, show that T is not a linear transformation. (a) T: Mn,n R; T(A)
Question:
(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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b Let A Thus TA rank A 2 TB rank B 2 and TA B rankA B 1 Thus TA B TA TB ...View the full answer
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