Topic

Eigenvalues and eigenvectors

4 concepts and 40 practice problems on eigenvalues and eigenvectors, part of Linear algebra.

4concepts
40exercises
≈ 2 hof study approx.

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Concepts

  • Eigenvalue and eigenvector 10 exercisesAn eigenvector v of a square matrix A is a nonzero vector that A only stretches, shrinks or flips, without taking it off its line…
  • Characteristic polynomial 10 exercisesThe characteristic polynomial p_A of a square matrix A is the determinant of the matrix minus a multiple λ I of the identity I, v…
  • Eigenspace 10 exercisesThe eigenspace E_λ of a square matrix A for the eigenvalue λ is zero together with the eigenvectors of λ, where I is the identity…
  • Diagonalization 10 exercisesA square matrix A is diagonalizable if it is similar to a diagonal matrix D, that is, if it can be written as an invertible matri…