Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special formula for 3x3 determinants. [Note: Finding the characteristic polynomial of a 3×3 matrix is not 5.2.13 to do with just row operations, because the variable > is involved.] 4 -4 0 -2 80 6 6 4 The characteristic polynomial is. (Type an expression using as the variable.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
5.2.13 to do with just row operations, because the variable λ is involved.]
4 - 4 0
80
64
- 2
6
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 5.2.13 to do with just row operations, because the variable λ is involved.] 4 - 4 0 80 64 - 2 6 The characteristic polynomial is (Type an expression using as the variable.)
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