Denis Gorodkov

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MAT 224

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Lecture notes

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Bits

Folder: Teaching/MAT-224/Lecture-notes/Bits

25 items under this folder.

  • Jul 11, 2026

    Vector space properties

    • Jul 11, 2026

      Triangularizable transformations

      • Jul 11, 2026

        Vector space (over real numbers)

        • Jul 11, 2026

          Triangularizability theorem

          • Jul 11, 2026

            The dot product in Euclidean space

            • Jul 11, 2026

              The orthogonal complement is a subspace

              • Jul 11, 2026

                The Gram-Schmidt orthogonalization process

                • Jul 11, 2026

                  Subspaces

                  • Jul 11, 2026

                    Solving complex polynomial equations

                    • Jul 11, 2026

                      Real numbers

                      • Jul 11, 2026

                        Polynomials

                        • Jul 11, 2026

                          Orthogonality and linear independence

                          • Jul 11, 2026

                            Orthogonal complements of subspaces in the Euclidean space

                            • Jul 11, 2026

                              Orthogonal projection on a subspace

                              • Jul 11, 2026

                                Orthogonal complements as solutions to homogeneous systems of equations

                                • Jul 11, 2026

                                  Nilpotent transformations canonical form

                                  • Jul 11, 2026

                                    Kernel and invertibility

                                    • Jul 11, 2026

                                      Kernel and image of a linear transformation

                                      • Jul 11, 2026

                                        Expressions for vectors in orthonormal bases

                                        • Jul 11, 2026

                                          Invariant subspaces

                                          • Jul 11, 2026

                                            Expression for orthogonal projection in orthonormal bases

                                            • Jul 11, 2026

                                              Eigenvalues and eigenvectors

                                              • Jul 11, 2026

                                                Decomposition of a space in the direct sum of a subspace and orthogonal complement

                                                • Jul 11, 2026

                                                  Determinant and products of matrices

                                                  • Aug 02, 2024

                                                    Properties of maps between sets


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