Question

What is the difference between and eingenvalue and an eigenvector?

Answer 1

eigenvalue is a number

Answer 2

wht is the eigenvalue concept?

Answer 3

For a square matrix, Eigen values are the solutions of the characteristic polynomial \( \det(A-\lambda I)=0\)

Answer 4

can u give a example?

Answer 5

a eugene vector is just a scaled vector; a eugene value is a number associated with ... yeah, those things

Answer 6

Now if \( \lambda \) is characteristic roots (Latent roots) or Eigen Values of a square matrix \(A\), then a non-zero vector \( X \) such that \( AX=\lambda X\) is called the Eigen vector of \(A\).