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| | Çankaya University |
 | | Matrices and systems of linear equations; vector spaces; subspaces, sums and direct sums of subspaces; linear dependence; bases; dimension; quotient spaces; linear transformations; kernel, range, isomorphism; spaces of linear transformations; Hom(V,W),V*,V** transpose; representations of linear transformations by matrices, similarity. |
 | | Metric Spaces, Hölder and Minkowski inqualities, Some topoligical concepts, Sequence spaces, Completion of metric spaces, Normed spaces, Finite dimensional normed spaces and compactness, Bounded linear operators, Dual space.Hilbert spaces, Riesze Representation Theorem, Hilbert adjoint operators, Hahn Banach Theorem, Baire Ctegory Theorem, Uniform boundedness principle, Weak and strong operator convergence, reflexivity. |
 | | Systems of linear equations; matrices; inverses, elementary matrices; determinants; vectors in 2-space and 3-space; real vector spaces, subspaces; linear independence; basis and dimension; row space; rank and nullity; inner product spaces; orthonormal basis; Gramm-Schmidt process; orthogonal complement; eigenvalues and eigenvectors; diagonalization; linear transformations; kernel and range. |
| www.cankaya.edu.tr /eng/fakulte/dersicerik.php?no=22 (995 words) |
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