## Solution for problem 9 Chapter 3.4

# In Exercises 9-14 determine the characteristic polynomials, eigenvalues, and

Linear Algebra with Applications | 8th Edition

In Exercises 9-14 determine the characteristic polynomials, eigenvalues, and corresponding eigenspaces of the given 3 X 3 matrices. [-; 2 --1 ] 2

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Math 103: Week G 02/19-02/23 02/19: “If P, then Q” Truth Tables: P q P→q T T T T F F F T T F F T **When False implies False, that statement in itself is TRUE** Conditional Statements: a) Find the Negation of: “If I study, then I get a good grade” “I studied and did not get a good grade” b) P → (P∨Q) (P∧~(P∨Q)) OR (P∧(~P∧~Q) * *DeMorgan’s Law** c) Related Conditional Statements: Direct Statement ex: P→Q Converse Statement ex: Q→P Inverse Statement ex: ~P→~Q Contrapositive ex: ~Q→~P -Direct & Contrapositive Statements are EQUIVALENT (≡) -Converse & Inverse Statements are EQUIVALENT (≡) Arguments: Includ

###### Chapter 3.4, Problem 9 is Solved

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In Exercises 9-14 determine the characteristic polynomials, eigenvalues, and