Brain Dump

Eigenvector

Tags
adaptive-intelligence

An [see page 9, eigenvector] is a mathematical relation between vector and matrix multiplication that's equivalent to a scalar transformation of the input vector. \[ w \times C = w \times \lambda \] Here multiplying the vector \( w \) by the matrix \( C \) is equivalent to scaling the vector \( w \) by the scalar \( \lambda \).

We call in this case the:

  • vector \( w \) the eigenvector
  • scalar \( \lambda \) the eigenvalue.

TODO: Eigenvalue/vector resolution