2018 - 2019

0366-1111-01
  Linear Algebra 1a                                                                                    
FACULTY OF EXACT SCIENCES
Prof. David Ginzburg005Mon0800-1000 Sem  1
Classrooms - Dan David001Wed0800-1000 Sem  1
 
 
University credit hours:  7.0

Course description

Systems of linear algebraic equations. Gauss' elimination algorithm. Matrix calculus, basic operations, inverse matrix. Determinants. Vector spaces over a field. Linear dependence. Basis, dimension. Linear subspace. Linear maps. Matrix of a linear map. Kernel, image, and rank of a linear map. Isomorphism. Linear functional. Dual vector space. Scalar product, Euclidean and unitary spaces. Cauchy-Schwarz inequality. Orthonormal basis. Gram-Schmidt orthogonalization. Orthogonal and unitary matrices.

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