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  • 6.3: Applications of Spectral Theory
    https://math.libretexts.org/Courses/Reedley_College/Differential_Equations_and_Linear_Algebra_(Zook)/06%3A_Spectral_Theory/6.03%3A_Applications_of_Spectral_Theory
    Suppose we have a matrix A and we want to find A50 . One could try to multiply A with itself 50 times, but this is computationally extremely intensive (try it!). However diagonalization allows us...Suppose we have a matrix A and we want to find A50 . One could try to multiply A with itself 50 times, but this is computationally extremely intensive (try it!). However diagonalization allows us to compute high powers of a matrix relatively easily.
  • 8.3: Applications of Spectral Theory
    https://math.libretexts.org/Courses/SUNY_Schenectady_County_Community_College/A_First_Journey_Through_Linear_Algebra/08%3A_Spectral_Theory/8.03%3A_Applications_of_Spectral_Theory
    Suppose we have a matrix A and we want to find A50 . One could try to multiply A with itself 50 times, but this is computationally extremely intensive (try it!). However diagonalization allows us...Suppose we have a matrix A and we want to find A50 . One could try to multiply A with itself 50 times, but this is computationally extremely intensive (try it!). However diagonalization allows us to compute high powers of a matrix relatively easily.
  • 7.3: Applications of Spectral Theory
    https://math.libretexts.org/Bookshelves/Linear_Algebra/A_First_Course_in_Linear_Algebra_(Kuttler)/07%3A_Spectral_Theory/7.03%3A_Applications_of_Spectral_Theory
    Suppose we have a matrix A and we want to find A50 . One could try to multiply A with itself 50 times, but this is computationally extremely intensive (try it!). However diagonalization allows us...Suppose we have a matrix A and we want to find A50 . One could try to multiply A with itself 50 times, but this is computationally extremely intensive (try it!). However diagonalization allows us to compute high powers of a matrix relatively easily.

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