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 a is involved.] 5 -3 0 7 0 85 The characteristic polynomial is (Type an expression using A as the variable.) 2. LO
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 a is involved.] 5 -3 0 7 0 85 The characteristic polynomial is (Type an expression using A as the variable.) 2. LO
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special formula for \(3 \times 3\) determinants. [Note: Finding the characteristic polynomial of a \(3 \times 3\) matrix is not easy to do with just row operations, because the variable \(\lambda\) is involved.]
\[
\begin{bmatrix}
5 & -3 & 0 \\
-2 & 7 & 0 \\
5 & 8 & 5 \\
\end{bmatrix}
\]
The characteristic polynomial is \(\underline{\hspace{2cm}}\).
(Type an expression using \(\lambda\) as the variable.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faba31a81-9649-4cd9-8404-baa278a33196%2F639190b8-db09-46dd-a37f-7fc9569e23e1%2F1byth1_processed.png&w=3840&q=75)
Transcribed Image Text:Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special formula for \(3 \times 3\) determinants. [Note: Finding the characteristic polynomial of a \(3 \times 3\) matrix is not easy to do with just row operations, because the variable \(\lambda\) is involved.]
\[
\begin{bmatrix}
5 & -3 & 0 \\
-2 & 7 & 0 \\
5 & 8 & 5 \\
\end{bmatrix}
\]
The characteristic polynomial is \(\underline{\hspace{2cm}}\).
(Type an expression using \(\lambda\) as the variable.)
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