Math / Linear Algebra 4 / Chapter 5.1 / Problem 20

Linear Algebra | 4th Edition | ISBN: 9780130084514 | Authors: Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence

Let A be an nxn matrix with characteristic polynomial f(t) = (-l)n t n + an-ir"- 1 + + a

Chapter 5, Problem 20

(choose chapter or problem)

Let A be an nxn matrix with characteristic polynomial f(t) = (-l)n t n + an-ir"- 1 + + a ^ + a0. Prove that /(0) = an = det(A). Deduce that A is invertible if and only if a0 ^ 0.

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

Let A be an nxn matrix with characteristic polynomial f(t) = (-l)n t n + an-ir"- 1 + + a

Login

Register

Let A be an nxn matrix with characteristic polynomial f(t) = (-l)n t n + an-ir"- 1 + + a

Login

Register

Reset password