Q1: The Joy of 2x2 Hermitian Matrices 15.0 points (graded) In this problem let a = (21, 22, 23) be a real vector, o = (0

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Q1: The Joy of 2x2 Hermitian Matrices 15.0 points (graded) In this problem let a = (21, 22, 23) be a real vector, o = (0

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Q1 The Joy Of 2x2 Hermitian Matrices 15 0 Points Graded In This Problem Let A 21 22 23 Be A Real Vector O 0 1
Q1 The Joy Of 2x2 Hermitian Matrices 15 0 Points Graded In This Problem Let A 21 22 23 Be A Real Vector O 0 1 (110.15 KiB) Viewed 34 times
Q1: The Joy of 2x2 Hermitian Matrices 15.0 points (graded) In this problem let a = (21, 22, 23) be a real vector, o = (01,02,03) be the triplet of Pauli matrices, and the 2 x 2 identity matrix I. = PART A 5.0 points (graded) Calculate the eigenvalues of a .o. (Hint: consider the eigenvalues of (ao) and evaluate tr (ao).) Write your answers in terms of a = = al. (You may enter your answers in any order.) Eigenvalue 1: Eigenvalue 2: What are the eigenvalues of ao I + a. o, where an is a real number? Write your answers in terms of ao and a = al - (You may enter your answers in any order.) Eigenvalue 1: Eigenvalue 2:
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