Please explain how the chracteristic polynomial = -(lambda - 3)(lambda - 3)(lambda - 2) for the matrix A = (-2, -10, 0 ; 2, 7, 0 ; -2, -4, 3). What is the process to get this characteristic polynomial?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.6: Solve Systems Of Equations Using Determinants
Problem 279E: Explain the steps for solving a system of equations using Cramer’s rule.
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Please explain how the chracteristic polynomial = -(lambda - 3)(lambda - 3)(lambda - 2) for the matrix A = (-2, -10, 0 ; 2, 7, 0 ; -2, -4, 3). What is the process to get this characteristic polynomial? 

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