Consider the matrix A = 1 1 2 4 . (a) Show that the characteristic polynomial of A is
Chapter 7, Problem 34(choose chapter or problem)
Consider the matrix A = 1 1 2 4 . (a) Show that the characteristic polynomial of A is p() = 2 5 + 6. (b) Show that A satisfies its characteristic equation. That is, A2 5A + 6I2 = 02. (This result is known as the Cayley-Hamilton Theorem and is true for general n n matrices.) (c) Use the result from (b) to find A1. [Hint: Multiply the equation in (b) by A1.] 3
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