dx which statement about the system at = Ax is true? The characteristic polynomial of A is p(x) = λ² — 2λ – 3. The eigenvalues of matrix A are complex conjugate with positive real part and non-zero imaginary part. The eigenvalues of matrix A are complex conjugate with zero real part and non- zero imaginary part. The eigenvalues of matrix A are complex conjugate with negative real part and non-zero imaginary part. The matrix A is non-invertible.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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which statement about the system = Ax is true?
dx
dt
The characteristic polynomial of A is p(x) = λ² — 2λ – 3.
The eigenvalues of matrix A are complex conjugate with positive real part and
non-zero imaginary part.
The eigenvalues of matrix A are complex conjugate with zero real part and non-
zero imaginary part.
The eigenvalues of matrix A are complex conjugate with negative real part and
non-zero imaginary part.
The matrix A is non-invertible.
Transcribed Image Text:which statement about the system = Ax is true? dx dt The characteristic polynomial of A is p(x) = λ² — 2λ – 3. The eigenvalues of matrix A are complex conjugate with positive real part and non-zero imaginary part. The eigenvalues of matrix A are complex conjugate with zero real part and non- zero imaginary part. The eigenvalues of matrix A are complex conjugate with negative real part and non-zero imaginary part. The matrix A is non-invertible.
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