Explain Eigenvector of matrix transformation?

OlmekinjP

OlmekinjP

Answered question

2021-10-24

Explain Eigenvector of matrix transformation?

Answer & Explanation

saiyansruleA

saiyansruleA

Skilled2021-10-25Added 110 answers

Step 1
An eigenvector or characteristic vector of a linear transformation is a nonzero vector that changes at most by a scalar factor when that linear transformation is applied to it. The corresponding eigenvalue is the factor by which the eigenvector is scaled.
If T is a linear transformation from a vector space V over a field F into itself and V is a nonzero vector in V, then V is an eigenvector of T if
T(v)=λv
Here,λ is a scalar know as eigen value corresponding to eigen vector V.
Step 2 Answer:
If T is a linear transformation from a vector space V over a field F into itself and V is anonzero vector in V, then V is an eigenvector of T if
T(v)=λv

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