Question: In each case, show that T-2 = 1 and find (as in Example 10) an ordered basis B such that Mb(T) has the given block
(a) T: M22 M22 where T(A) = AT,
(b) T : P3 P1 where 7[p(x)] = p(-x),
(c) T : C C where T{a + bi) = a - bi,
(d) T: IR3 IR3 where T(a, b, c) =
(-a + 2b + c, b + c, -c), MB(T)
(e) T: V V where
T(v) = -v, dim V = n, MB(T) = -1n
MB(T) =
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b We have T P 3 P 3 given by Tpx px for all px in P 3 We leave it to the reader to verify tha... View full answer
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