Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special formula for 3×3 determinants. [Note: Finding the characteristic polynomial of a 3×3 matrix is not easy to do with just row operations, because the variable is involved.] 10 1 -42-3 07 0 The characteristic polynomial is (Type an expression using as the variable.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 21E
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Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special formula for 3×3 determinants. [Note:
Finding the characteristic polynomial of a 3×3 matrix is not easy to do with just row operations, because the variable is involved.]
10 1
-42-3
07
0
The characteristic polynomial is
(Type an expression using as the variable.)
Transcribed Image Text:Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special formula for 3×3 determinants. [Note: Finding the characteristic polynomial of a 3×3 matrix is not easy to do with just row operations, because the variable is involved.] 10 1 -42-3 07 0 The characteristic polynomial is (Type an expression using as the variable.)
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