Universidad Carlos III de Madrid
Linear Algebra
221-14182
Iowa State Course Substitution
Matrices and Linear Algebra
MATH 2070
Course Info
International Credits:
6.0
Converted Credits:
3.5
Country:
Spain
Language:
English
Special Notes:
Also offered as:
350-16266
222-13965
223-14010
251-15321
433-18253
257-15527
363-18295
370-15488
217-18512
318-19079
214-18491
271-15363
215-13402
Course Description:
The student will acquire the basic concepts of:
1. Complex numbers.
2. Linear systems.
3. Matrix and vector algebra.
4. The determinant of a square matrix.
5. Vector subspaces in Rn and other vector spaces.
6. Eigenvalues and eigenvectors of square matrices.
7. Orthogonality and orthonormality of vectors in Rn.
The student will acquire the skills that enable them:
1. To work with complex numbers.
2. To decide about the existence and uniqueness of solutions for a system of linear equations.
3. To find, in the case when they exist, the solutions of a system of linear equations.
4. To work with vectors and matrices.
5. To compute, in the case when it exists, the inverse of a square matrix.
6. To find bases for a vector space or subspace.
7. To compute the eigenvalues and eigenvectors of a square matrix.
8. To decide whether a square matrix is diagonalizable or not.
9. To obtain an orthonormal basis from an arbitrary basis.
10. To solve least-squares problems.
11. To orthogonally diagonalize a symmetric matrix.
Review
- Evaluated Date:
- June 1, 2022
- Evaluated:
- Kris Lee
- Expiration Date:
- June 1, 2027