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  Southwestern		 Linear Algebra  
MATH 361  
   Adventist University
 
Lawrence E. Turner, Ph.D.
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Linear Algebra is the study of vectors and matrices. In previous courses vectors are introduced as a convenient way to express certain physical values in three dimensions. Square matrices are used to solve n simultaneous linear equations in n unknowns. Vector and matrix manipulations bring a great simplification by utilizing entities that contain many separate values.

Course web site is for spring 2009 semester.

The heart of the Linear Algebra is a matrix with m rows and n columns acting on an n-dimensional vector. What are the fundamental properties of such a matrix?

An mxn matrix, A, will transform an n-dimensional vector, x into an m-dimensional vector, Ax.

All n-dimensional vectors are combinations of two components, xr and xn, contained in two mutually exclusive and orthogonal spaces: the row space and the nullspace of the matrix, respectively. All m-dimensional vectors are contained in two mutually exclusive and orthogonal spaces: the column space and the left nullspace of the matrix.



Fundamental Theorem of Linear Algebra
Math is the only place where truth and beauty mean the same thing.
Danica McKellar


Lawrence E. Turner, Jr., Ph.D.
Professor of Mathematics and Physics
Chair, Mathematics and Physical Sciences Department

Department of Mathematics and Physical Sciences
Southwestern Adventist University
Keene, TX  76059

(817) 202-6708
turner@swau.edu

dates away from campus office schedule teacher's biographical sketch

 
 
© 2007, 2008, 2009 by Lawrence Turner