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 3x3 matrix is not easy to do with just row operations, because the variable is involved.] 400 -7 35 -702

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 17E
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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 3x3 matrix is not easy to do with just row operations, because the variable is involved.]
400
-7 35
-702
The characteristic polynomial is.
(Type an expression using as the variable.)
4 (0/
8 (1/
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 3x3 matrix is not easy to do with just row operations, because the variable is involved.] 400 -7 35 -702 The characteristic polynomial is. (Type an expression using as the variable.) 4 (0/ 8 (1/
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