Math 210-01: Linear Algebra: Reading Homework 1.3--2.1

1. Applications of Systems of Linear Equations :
1. Polynomial Curve Fitting : what are we doing in the course of polynomial curve fitting? how do systems of linear equations arise in this context? what are the variables in the equations?
1. translation : how does the book obtain a ``nicer'' polynomial when faced with large x-values?
2. application : what galactic application does the book fit a polynomial for? what important lesson do we learn from this example?
2. Network Analysis : what is a network in this context?
2. Matrices and Operations with Matrices : who was Arther Cayley? what careers did he pursue?
1. Notation and Equality : how do we denote matrices? what is true about the elements of equal matrices?
2. Operations : how are matrices added? how are the entries of a matrix changed by scalar multiplication?
3. Multiplication : how are the rows and columns of matrices combined in matrix multiplication?
1. commutivity : is the product of matrices, A B, the same as B A?
2. linear systems : how is a linear system of equations written as a matrix equation?
3. linear combinations : what is a linear combination of column matrices?

Math 210-01: Linear Algebra: Reading Homework 1.3--2.1