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Oh, I am sorry, that f had to be a T :shy:
Finding image of linear transformation (difficult)
- Thread starter andrey21
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Homework Help Overview
The discussion revolves around finding the image of a linear transformation represented by a given matrix. Participants explore the implications of linear transformations in the context of vector spaces.
Discussion Character
- Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation
Approaches and Questions Raised
- Participants discuss using a basis of the domain to find the image of the transformation. There are attempts to calculate the images of basis vectors and questions about the meaning of the set spanned by these vectors. Some participants express confusion about the calculations and the definitions involved.
Discussion Status
The discussion has progressed with participants calculating the images of basis vectors and discussing the implications of these calculations. Guidance has been offered regarding the concept of spanning sets and subspaces, with some participants expressing understanding while others seek clarification on specific points.
Contextual Notes
There are indications of confusion regarding the definitions and properties of linear transformations, particularly in relation to the image and subspaces. Participants are also navigating the requirements of the homework task, which includes proving that the image forms a subspace.
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