'Finite dimensional vector spaces' presentation slideshows

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712 views • 44 slides

Matrices

Matrices. COMM2M Harry R. Erwin, PhD University of Sunderland. Basic Concepts. Vector space Linear transformation. Resources. Korevaar, J., 1968, Mathematical Methods, Academic Press. Vector Space.

548 views • 41 slides

Matrices

Matrices. COMM2M Harry R. Erwin, PhD University of Sunderland. Basic Concepts. Vector space Linear transformation. Resources. Korevaar, J., 1968, Mathematical Methods, Academic Press. Vector Space.

588 views • 41 slides

Matrices and linear transformations For grade 1, undergraduate students

Matrices and linear transformations For grade 1, undergraduate students. Made by Department of Math. ,Anqing Teachers college. L et us suppose given a linear transformation between the finite-dimensional vector spaces V and W.

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4.1 Linear Transformations

4.1 Linear Transformations. Definition: Let V and W be arbitrary vector spaces, and let T : V ? W be a function. Then we define the domain of T to be V. The codomain of T to be W. The range of T to be the set {T( x ) : x is in V}

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Finite Dimensional Vector Spaces

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7.3 Isomorphisms and Composition

7.3 Isomorphisms and Composition. Definition. T: V?W, a LT, is an isomorphism if it is both onto and one-to-one. The vector spaces V and W are called isomorphic if there exists an isomorphism T: V?W. (see examples on p. 362). Theorem 1:.

363 views • 19 slides