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INTRODUCTION TO LINEAR ALGEBRA MATH 361 |
Southwestern Adventist University |
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| Distance Education | Lawrence E. Turner, Jr., Ph.D. | |
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| Linear Algebra is the study of vectors and matrices. The abstraction to n-dimensional entities is an important aspect. |
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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 |
Lawrence E. Turner, Jr., Ph.D.
Professor of Mathematics and Physics
Chair, Mathematics and Physical Sciences Department
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 |
© 1999, 2000, 2001, 2002, 2003 by Lawrence Turner