LINEAR ALGEBRA I


Class Schedule

Month/Day Title Subjects
September 11Systems of Linear Equations and Matrices
1.1, 1.2
Augmented matirices of a system of linear equation, Gaussian Elimination, reduced row-echelon form
18Rank of Matrices and Homogeneous Linear Equations
1.3,1.4
Fundamental solutions, sums and products of matrices
25Rules of Matrix Arithmetic
1.5
Various multiplications, transpose of matrices, trace
October 2Inverses
1.6
Method for finding inverses, elementary operation
9Invertibility of Systems of Linear Equations
1.7
Further results
16The Determinant Function
2.1
Permutations, definition of determinant
23Evaluation of Determinants
2.2
Evaluation by row reduction
30Properties of the Determinant Function
2.3
The determinants of the product, the formula of inverse
November 6Cramer's Rule
2.4
Cofactor expansion, application of Cramer's rule
13Review
Review of the system of linear equations

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Text Book

Haward Anton, "Elementary Linear Algebra" 7th Edition, Wiley

Reference

Please refer to the references at the end of the textbook.

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Related Links on the Web

If you know some other useful site, please drop me (hsuzuki@icu.ac.jp) a line.


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