Form a 5 x 5 matrix by writing the integers 1, 2, 3,4, 5 into each column in any order
Chapter 7, Problem 31(choose chapter or problem)
Form a 5 x 5 matrix by writing the integers 1, 2, 3,4, 5 into each column in any order you like. An example is A =5 1 2 2 1 1 4 3 3 2 3 3 5 4 3 2 5 4 1 4 4 2 1 5 5(Optional question for combinatorics aficionados: How many such matrices are there?) Take higher and higher powers of the matrix you have chosen (using technology), and compare the columns of the matrices you get. What do you observe? Explain the result. (Hint: Exercise 30 is helpful.)
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer