{-8, 0, -2} Calculate the characteristic polynomial of the following matrix A, and use it to compute eigenvalues of A. -13 2 9 -13 2 9 -5 2 A = How to enter polynomials. Enter the formula for a polynomial using * to denote multiplication and ^ to denote the exponent. For example, if the answer is the polynomial 3 P(x) = 1−2x + x² +4.5x³3 then you should enter 1 2*x + (3/7)*x^2 + 4.5*x^3. Do not forget to use for multiplication!

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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{-8, 0, -2} Calculate the characteristic polynomial of the following matrix A, and use it to compute eigenvalues of A.
-13 2 9
-13 2 9
-5 2
How to enter polynomials.
Enter the formula for a polynomial using * to denote multiplication and to denote the exponent. For example, if the answer is the
polynomial
A
Do not forget to use for multiplication!
then you should enter 1 2*x + (3/7)*x^2 + 4.5*x^3.
Enter the characteristic polynomial of the matrix A:
Note: Use X as the polynomial variable.
P(x) = 1-2x +
3
7
+4.523
Enter eigenvalues of A separating them by commas:
For example, if you obtain that eigenvalues are 1, -2, and 5 then you should enter 1, -2, 5
Transcribed Image Text:{-8, 0, -2} Calculate the characteristic polynomial of the following matrix A, and use it to compute eigenvalues of A. -13 2 9 -13 2 9 -5 2 How to enter polynomials. Enter the formula for a polynomial using * to denote multiplication and to denote the exponent. For example, if the answer is the polynomial A Do not forget to use for multiplication! then you should enter 1 2*x + (3/7)*x^2 + 4.5*x^3. Enter the characteristic polynomial of the matrix A: Note: Use X as the polynomial variable. P(x) = 1-2x + 3 7 +4.523 Enter eigenvalues of A separating them by commas: For example, if you obtain that eigenvalues are 1, -2, and 5 then you should enter 1, -2, 5
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