Course Details
Country:
United Kingdom
Institution:
University of Surrey
Course Title:
LINEAR ALGEBRA
Course Number:
MAT1034
Course Description:
The module is divided into four main parts:
Systems of linear equations: rank and nullity of matrices, elementary row operations and row-echelon form, Gaussian elimination, solubility of linear equations;
Vector spaces: axiomatic development of vector spaces, linear independence of vectors, basis representations of vectors, change of basis, dimension, vector subspaces;
Linear maps: basic properties of linear maps, rank-nullity theorem, matrix representation, Cayley-Hamilton theorem, eigenvalues and eigenvectors, eigenspaces, algebraic and geometric multiplicities, diagonalisation;
Inner product spaces: inner products, norms, Cauchy-Schwarz inequality, orthogonality, orthogonal complement, Gram-Schmidt process, orthogonal and unitary changes of basis, isometries, self-adjoint operators.
Language:
English
Approved Equivalent:
MATH 322
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