Syllabus
Acciones de Documento
Programa de la asignatura: Temas que forman parte de la asignatura.
1. Systems of linear equations.
1.1. Notion of systems of linear equations.
1.2. Gaussian elimination.
1.2.1. Matrix notation.
1.2.2. Row reduction and
echelon form.
1.3. Homogenous linear systems.
1.4. Applications.
2. Matrices and determinants.
2.1. Matrices.
2.1.1. Operation with
matrices.
2.1.2. The inverse of a
matrix.
2.1.3. Partitioned
matrices.
2.1.4. LU
factorization.
2.2. Determinants.
2.2.1. Properties.
2.2.2. Cramer's
rule.
3. Real vector spaces.
3.1. Vector spaces and subspaces.
3.2. Null spaces and column spaces.
3.2.1. Linear
transformation.
3.3. Linearly independent sets. Bases.
3.4. Dimension and rank.
3.5. Change of basis.
4. Eigenvalues and eigenvectors.
Diagonalization.
4.1. Eigenvalues and eigenvectors.
4.2. Diagonalization.
5. Orthogonality and least-square
problems.
5.1. Inner product, length, orthogonality.
5.2. Orthogonal projections.
5.3. The Gram-Schmidt process.
5.4. The least-squares problem.
6. The singular value decomposition.
6.1. Symmetric matrices.
6.2. Singular value decomposition.
6.3. Moore-Penrose pseudoinverse matrix.
6.4. Applications to least-square problem.
Copyright 2012,
by the Contributing Authors.
Esta obra se publica bajo una licencia
Creative Commons License
Reconocer autoría/Citar obra.
Liñán, M. B. (29/10/2007). Syllabus. Obtenido el 19/05/2013, desde el sitio Web de OCW - UC3M: http://ocw.uc3m.es/matematicas/mathematical-methods/syllabus.
