Let the complex field C be a vector space over the real field R and the conjugation operator T on C defined by T(z) = z. 1 a. Find the matrix of T relative to the usual basis {1, i}. b. Find the matrix of T relative to the basis {1+i,1+2i}.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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11. Let the complex field C be a vector space over the real field R and the
conjugation operator T on C defined by T(z) = z.
1
a. Find the matrix of T relative to the usual basis {1, i}.
b. Find the matrix of T relative to the basis {1+i,1+2i}.
Transcribed Image Text:11. Let the complex field C be a vector space over the real field R and the conjugation operator T on C defined by T(z) = z. 1 a. Find the matrix of T relative to the usual basis {1, i}. b. Find the matrix of T relative to the basis {1+i,1+2i}.
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