In certain cases, there is a nonzero vector and a scalar for a matrix such that . The vector is called an eigenvector of with eigenvalue . Let with eigenvector . What is its eigenvalue?

Question

In certain cases, there is a nonzero vector   and a scalar  for a matrix  such that  . The vector  is called an eigenvector of  with eigenvalue  . Let  with eigenvector  . What is its eigenvalue?

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The Answer of In certain cases, there is a nonzero vector   and a scalar  for a matrix  such that  . The vector  is called an eigenvector of  with eigenvalue  . Let  with eigenvector  . What is its eigenvalue?

In Certain Cases, There Is a Nonzero Vector