MATH 240 (Introducation to Linear Algebra)
| DESCRIPTION |
Basic concepts of linear algebra: vector spaces,
applications
to line
and plane geometry, linear equations and matrices, similar matrices,
linear
transformations, eigenvalues, determinants and quadratic forms.
All sections of the course will use the software system MATLAB. |
| PREREQUISITES |
MATH 141 |
| TOPICS |
Systems of Linear Equations
Gaussian elimination
Matrix operations
Finding the inverse
Solution spaces
Determinants
Definition
Evaluation
Minors
Cramer's Rule
Vectors in 2- and 3- space
Geometric and algebraic definitions
Dot product
Projections
Vector Spaces
Euclidean space
Subspaces
Linear independence
Basis and dimension
Row space, rank
Length and angle
Gram-Schmidt
Least squares
Linear Transformations
Definition
Kernel and range
Representation as matrices
Eigenvalues and Eigenvectors
Definition
Diagonalization
Orthogonal diagonalization
Symmetric matrices
Applications
Differential equations
Quadratic forms
Numerical methods |
| TEXT |
Text(s)
typically used in this course.
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