Math 210-01: Linear Algebra: Reading Homework 6.2
- The Kernel and Range of a Linear Transformation : what question is considered in this section?
- the Kernel : what is the kernel of a linear transformation? how can we find the kernel of a linear transformation?
- properties of the kernel : what can we say about the kernel of a linear transformation? what alternate terminology is therefore sometimes used for the kernel? why?
- the Range : what is the range of a linear transformation? what is special about it?
- properties of the range : what is true about the range of a linear transformation defined to be the product of a vector with a given matrix?
- rank and nullity : how are the rank and nullity of a linear transformation defined? how are these related to the dimension of the domain of the transformation?
- One-to-One and Onto Transformations : what are one-to-one and onto linear transformations?
- Isomorphisms : what is an ismorphism? what are ismorphic vector spaces?
- isomorphic vector spaces : under what circumstances will finite-dimensional vector spaces by isomorphic? how does the book prove this in the ``assume that the vector spaces have dimension n'' direction?
Math 210-01: Linear Algebra: Reading Homework 6.2
Last Modified: Wed Apr 7 00:38:16 1999
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