Question

What exactly are eigen values and eigenvectors?

Answer 1

Hey!


Ur answer is :-

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that only changes by a scalar factor when that linear transformation is applied to it. More formally, if T is a linear transformation from a vector space V over a field F into itself and v is a vector in V that is not the zero vector, then v is an eigenvector of T if T(v) is a scalar multiple of v. This condition can be written as the equation

{\displaystyle T(\mathbf {v} )=\lambda \mathbf {v} ,}
where lambda is a scalar in the field F, known as the eigenvalue, characteristic value, or characteristic root associated with the eigenvector v.

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