Eigen values & eigen vectors.

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Let A be a square matrix of order n, then the values of λ for which the equation
      Ax=λx   has non-trival solutions are called the eigen values of A. If λ is an eigen value, then the non-zero vectors x for which the equation Ax=λx holds, are called the eigen vectors of A.
★ Eigen values are also called characteristics values or proper values. Eigen vectors are also called characteristics vectors or proper vectors.

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