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Linear Geometry
Engineering & Social Sciences Program
Madrid, Spain
Dates: mid Jan 2026 - early Jun 2026
Linear Geometry
OVERVIEW
CEA CAPA Partner Institution: Universidad Carlos III de Madrid
Location: Madrid, Spain
Primary Subject Area: Mathematics
Instruction in: English
Course Code: 18259
Transcript Source: Partner Institution
Course Details: Level 100
Recommended Semester Credits: 3
Contact Hours: 42
Prerequisites: Fundamentals of Algebra, Linear Algebra, Differential Calculus
DESCRIPTION
1. Least squares problems
2. Eigenvalues and eigenvectors: diagonalization of matrices and Schur's triangularization
3. The Jordan canonical form
4. Normal matrices and their spectral theorem
5. Positive definite matrices
6. Bilinear and quadratic forms
7. The singular value decomposition
8. Affine spaces and their applications
9. Affine transformations
10. Conic sections and quadric surfaces
2. Eigenvalues and eigenvectors: diagonalization of matrices and Schur's triangularization
3. The Jordan canonical form
4. Normal matrices and their spectral theorem
5. Positive definite matrices
6. Bilinear and quadratic forms
7. The singular value decomposition
8. Affine spaces and their applications
9. Affine transformations
10. Conic sections and quadric surfaces