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Applied Mathematics E2101y Introduction to Applied Mathematics Problem Set #6, due Tuesday, 31 March 2009 Chapter 8, § 8.2: Systems of Linear Algebraic Equations 9 13 Perform these two problems both by hand and with MATLAB; append MATLAB output logs. Chapter 8, § 8.3: Rank 4 17 Chapter 8, § 8.4: Determinants 12 13 Chapter 8, § 8.5: Properties of Determinants 12 13 Chapter 8, § 8.6: Matrix Inverse 6 19 32 Chapter 8, § 8.7: Cramer’s Rule
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Unformatted text preview: 6 Historical Research Please read the brief two-millenium history of matrices and determinants at http://www-history.mcs.st-and.ac.uk/history/HistTopics/Matrices and determinants.html#86 . (a) When did Gauss ﬁrst use “Gaussian elimination”? (b) Who deﬁned our modern matrix algebra, including rules for the addition, multiplication, and inversion of matrices and in what year were these deﬁnitions published?...
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