In each case, show that T-2 = 1 and find (as in Example 10) an ordered basis

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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 form.
(a) T: M22 †’ M22 where T(A) = AT,

(b) T : P3 †’ P1 where 7[p(x)] = p(-x),

(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

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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:50 AM

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In each case, show that T-2 = 1 and find (as in Example 10) an ordered basis

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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 the full answer

Linear Algebra With Applications

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