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Chapter 1. Preparatory material 1 x A review of probability theory 2 x Stirling’s formula 41 x Eigenvalues and sums of Hermitian matrices 45 Chapter 2. Random matrices 65 x Concentration of measure 66 x The central limit theorem 93 x The operator norm of random matrices x The semicircular law x Free. THE MATRIX PERSPECTIVE ON SOCIAL INSTITUTIONS 77 Chapter 3. The Social Construction and Regulation of Families 78 Chapter 4. Work and Wealth Inequality Chapter 5. Health, Medicine, and Health Care Chapter 6. Education Chapter 7. Crime, Law, and Deviance Chapter 8. Power, Po litics, and Identities Chapter 9. Algebra 2 Lecture Notes. Quick Links to Chapter Lecture Notes. Ch 1: Ch 2: Ch 3: Ch 4: Ch 5: Ch 6: Ch 7: Ch 8: Ch 9: Ch Ch Ch Ch Ch Ch CHAPTER 8 Matrices and Determinants Section Matrices and Systems of Equations You should be able to use elementary row operations to produce a row-echelon form (or reduced row-echelon form) of a matrix. 1. Interchange two rows. 2. Multiply a row by a nonzero constant. 3. Add a .

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