Università Roma Tre

Vector spaces. Linear dependence and independence of vectors. Basis. Dimension. Subspaces. Subspace sum. Subspace intersection. Grassmann’s relation. Matrices. Determinants. Inverse matrix. Reduction of a matrix into treads. The rank of a matrix. Linear systems. Theorem of Rouche-Capelli. Cramer's theorem. Method of Gaussian elimination. Linear applications. Kernel. Image. Linear maps and linear dependence. Linear maps and matrices. Change of basis. Similar matrices. Diagonalization of an endomorphism. Eigenvalues. Eigenvectors. Eigenspaces. Characteristic polynomial. Scalar products. Euclidean vector spaces. Elements of affine and Euclidean geometry of the plane and space.

F.J. Leon Trujillo, P. Mercuri. Elementi di Algebra Lineare, Ed. Efesto
F.J. Leon Trujillo, P. Mercuri. Elementi di Geometria Affine ed Euclidea, Ed. Efesto
F.J. Leon Trujillo. Esercizi di Algebra Lineare e Geometria, Ed. Efesto

Vector spaces. Linear dependence and independence of vectors. Basis. Dimension. Subspaces. Subspace sum. Subspace intersection. Grassmann’s relation. Matrices. Determinants. Inverse matrix. Reduction of a matrix into treads. The rank of a matrix. Linear systems. Theorem of Rouche-Capelli. Cramer's theorem. Method of Gaussian elimination. Linear applications. Kernel. Image. Linear maps and linear dependence. Linear maps and matrices. Change of basis. Similar matrices. Diagonalization of an endomorphism. Eigenvalues. Eigenvectors. Eigenspaces. Characteristic polynomial. Scalar products. Euclidean vector spaces. Elements of affine and Euclidean geometry of the plane and space.

F.J. Leon Trujillo, P. Mercuri. Elementi di Algebra Lineare, Ed. Efesto
F.J. Leon Trujillo, P. Mercuri. Elementi di Geometria Affine ed Euclidea, Ed. Efesto
F.J. Leon Trujillo. Esercizi di Algebra Lineare e Geometria, Ed. Efesto