MT1-07 Tips - Cramers rule 6. How to evaluate determinant...

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Study Tips, 1 st Midterm Chapter 1: Make sure that you know 1. How to solve a linear system by using elementary row operation, Gaussian elimination (row echelon form) 2. How to find a) row-echelon form b) reduced row-echelon form of a matrix 3. Multiply (and of course add, subtract) matrices 4. Find the transpose, trace of a given matrix 5. Find inverse of a matrix by using: a) row operations, b) it’s adjoint 6. Solve a system by using inverse of the coefficient matrix. 7. Symmetric, (upper/lower) triangular, diagonal matrices. Make sure that you understand and are able to use Thm. 1.6.4. Chapter 2: Make sure that you know ; 1. How to evaluate the determinant of a matrix 2. Affect of elementary row operations on the value of the determinant 3. Make sure that you understand and are able to use Theorems 2.3.3, 2.3.4, 2.3.5, 2.3.6 4. How to find cofactor expansion, adjoint of a matrix 5.
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Unformatted text preview: Cramers rule 6. How to evaluate determinant of a triangular/diagonal matrix. Chapter 3: Study lecture notes, the book gives too many details (but solve the exercises from the book). Make sure that you know how to find; 1. Norm, Distance of vectors 2. Dot product, angle between vectors, Chapter 4: Study lecture notes, the book gives too many details at times (but solve the exercises from the book). Make sure that you know 1. Euclidean inner product, 2. How to use Cauchy-Schwarz inequality, 3. How to use Norms Euclidean product etc to prove (Triangle inequality, Pythagorean Thm,) 4. What a linear transformation is 5. How to find the standard matrix [T] of a linear transformation T. Besides from calculation exercises there will also be some theoretical questions. Make sure that you have a comprehensive knowledge of the theory....
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This note was uploaded on 03/16/2012 for the course FENS 101 taught by Professor Selçukerdem during the Fall '12 term at Sabancı University.

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MT1-07 Tips - Cramers rule 6. How to evaluate determinant...

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