Linear Transformations Problem

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Homework Help Overview

The problem involves finding the standard matrix for a linear transformation defined as T(v) = kv for vectors v in R^n. The context centers around linear transformations and their representation in matrix form.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss evaluating the transformation on the standard basis vectors of R^n to derive the matrix representation. There are questions about the understanding of eigenvectors and the nature of the problem.

Discussion Status

The discussion includes various approaches to the problem, with some participants suggesting specific methods for finding the matrix representation. There is an acknowledgment of the problem's simplicity, but no consensus has been reached on the solution.

Contextual Notes

Some participants inquire about the original poster's attempts and understanding of related concepts, such as eigenvectors, indicating a potential gap in foundational knowledge.

RandR
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Hello,
Can someone help me with this problem? Thanks in advance
Let T be a linear transformation such that T (v) = kv for v in R^n.
Find the standard matrix for T.
 
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Linear Transformations Problem - Please Help

Hello,
Can someone help me with this problem? Thanks in advance
Let T be a linear transformation such that T (v) = kv for v in R^n.
Find the standard matrix for T.
 
Can you show your attempt?
Do you know what an eigenvector is?
 
Pick the usual basis in R^n, evaluate T on those basis vectors. The results are the column vectors of the matrix of T. What does it look like?
 
Cute (and almost trivial) problem!
 

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