G. Anichini, G. Conti "Geometria Analitica e Algebra lineare" Pearson, 2009
Learning Objectives - Last names M-Z
Being acquainted with vector and matrix calculus.
Study of conic and quadric curves in the plane and in the space
Prerequisites - Last names M-Z
None
Teaching Methods - Last names M-Z
Lessons and classrom exercises
Type of Assessment - Last names M-Z
Written and oral examination
Course program - Last names M-Z
Free and applied vectors. Sum, multiplication by scalars and properties. Linear dependency. Planar and parallel vectors.Subspace generates by independent vectors, bases. Scalar, vector and mixed product. Orthogonal projections
Vector spaces R^2 and R^3
Matrix: calculus and properties. Matrix vector spaces. particular type of matrix. Determinant and invertible matrix.
Linear Systems: solution. Structure of the solution space. Gauss reduction method.
Analytic geometry in the plane and in the space. straight lines, planes, orthogonality and parallelism conditions. Distance
Change of base.
Linear applications: definition, kernel and Image; associate matrix. Eigenvalues and eigenvectors: definition and calculus. Diagonal applications.