Understanding Matrix Transformation: T2(v)=0 Clarification

Thread starter Nope
Start date Nov 14, 2011
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Matrix Transformation

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SUMMARY

The discussion clarifies that the expression T2(v) = 0 refers to the composition of the transformation T applied twice, specifically T(T(v)) = 0. This distinction is crucial for understanding matrix transformations in linear algebra. The confusion between T(T(v)) and T(v) * T(v) highlights the importance of notation in mathematical expressions.

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Understanding of linear transformations
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Basic knowledge of function composition
Concept of null space in linear algebra

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Nov 14, 2011

Nope

Homework Statement

just wondering, what exactly is T²(v)=0?
is it T(T(v))=0 or T(v)*T(v)=0??

Homework Equations

The Attempt at a Solution

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Nov 14, 2011

Mark44

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Nope said:

Homework Statement

just wondering, what exactly is T²(v)=0?
is it T(T(v))=0 or T(v)*T(v)=0??

Homework Equations

The Attempt at a Solution

It's T(T(v)) = 0

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