(b) Recall that every complex number of absolute value 1 takes the form e0 for some choice of O E [0, 27]. For every choice of real number 0 between 0 and 27, write down a non-diagonal unitary matrix U € M2x2(C) having et0 as an eigenvalue, and explain/justify how you came up with such a matrix.
(b) Recall that every complex number of absolute value 1 takes the form e0 for some choice of O E [0, 27]. For every choice of real number 0 between 0 and 27, write down a non-diagonal unitary matrix U € M2x2(C) having et0 as an eigenvalue, and explain/justify how you came up with such a matrix.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 64CR: a Find a symmetric matrix B such that B2=A for A=[2112] b Generalize the result of part a by proving...
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