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What is Non-Singular Linear Transformations about?

The document defines and discusses several concepts relating to linear transformations: 1) A linear transformation T from a vector space V to itself is non-singular if the only vector v in V such that T(v)=0 is v=0, and singular otherwise. 2) A linear transformation T from V to W is an isomorphism if it is both one-to-one and onto, meaning V and W are isomorphic. 3) Any n-dimensional vector space V over a field F is isomorphic to the n-dimensional space Fn. 4) The set of all linear transformations fr

Author

Rusick

Language

EN