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 3x3 matrix is not easy to do with just row operations, because the variable 2 is involved.] 1 0 1 -2 2 -1 0 6 The characteristic polynomial is (Type an expression using A as the variable.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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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 3x3 matrix is not easy to do with just row operations, because the variable 1 is involved.]
1 0
1
-2 2 - 1
0 6
The characteristic polynomial is
(Type an expression using A 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 3x3 matrix is not easy to do with just row operations, because the variable 1 is involved.] 1 0 1 -2 2 - 1 0 6 The characteristic polynomial is (Type an expression using A as the variable.)
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