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styexam1ceg416wi10

# styexam1ceg416wi10 - CEG/MTH/416/416 Mid-Exam Study...

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Page 1 of 1 2/2/2010 styexam1ceg416wi10.docx CEG/MTH/416/616 Winter 2010 CEG/MTH/416/416 Mid-Exam - Study Topics/Procedures February 4, 2010 Study Topics Some topics listed will be covered in lecture on February 2, 2010 Study class notes. Study Datta text: 1. Chapter 0 (all sections), 2. Chapter 1 (topics covered in lectures), 3. Chapter 3 (sect 3.1), 4. Chapter 5 (sect 5.1, 5.2), 5. Chapter 6 ( sect 6.1, 6.2, 6.4.1-6.4.4, 6.5.1, 6.5.2, 6.7.1-6.7.4, parts of 6.11) Be able to prove matrix identities using basic mathematics Solving linear equations - basic mathematics. Properties of determinants and matrices. Solving eigenvalue problems - basic mathematics. Trace and determinant properties of eigenvalues. Gerschgorin circle theorem for eigenvalue localization. Orthogonality of eigenvectors for real, symmetric matrices. Properties of special matrices such as the Hilbert matrix. Properties and application of permutation matrices. Properties of orthogonal and unitary matrices. Geometric interpretation of eigenvalues and eigenvectors.
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