Course Overview

Math 270

1. Solving system of linear equations by Gaussian elimination and Gauss-Jordan elimination.
2. Study of matrices and matrix operations.
3. Study of matrix inverse and elementary matrices and their applications.
4. Study of determinant of a square matrix, properties of determinant and their applications.
5. Study of eigenvalues and eigenvectors.
6. Study of vector spaces, subspaces, spanning sets, linear independence, basis and dimensions.
7. Study of row and column spaces and subspaces.
8. Study of rank and nullity.
9. Study of linear transformation, kernel and range of linear transformation.
10. Study of inner product spaces and their application.
11. Study of orthogonal subspaces, orthonormal sets, and the Gram-Schmidt Orthogonalization process.
12. Use of thecnology throughout the course.

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