Suppose that a 4 x 4 matrix A has eigenvalues ₁-1,A2-6, 3-7, and 14--7. Use the following method to find det (A). If p() - det (Al-A) - A" + C₂^"- ++Cn So, on setting /-0, we obtain that det (-A) - Cnor det (A) - (-1)^cn det (A) i
Suppose that a 4 x 4 matrix A has eigenvalues ₁-1,A2-6, 3-7, and 14--7. Use the following method to find det (A). If p() - det (Al-A) - A" + C₂^"- ++Cn So, on setting /-0, we obtain that det (-A) - Cnor det (A) - (-1)^cn det (A) i
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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2(1)
![Suppose that a 4 x 4 matrix A has eigenvalues ₁-1,A2-6, 3-7, and 14--7. Use the following method to find det (A).
If
p() - det (Al-A) - A" + C₂^"-
++Cn
So, on setting /-0, we obtain that
det (-A) - Cnor det (A) - (-1)^cn
det (A)
i](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab4a6e02-47bb-402a-b801-53102663a8fd%2F7172b68a-fa2c-423f-8f9e-a358dddcaba5%2Fd3cgl3t_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that a 4 x 4 matrix A has eigenvalues ₁-1,A2-6, 3-7, and 14--7. Use the following method to find det (A).
If
p() - det (Al-A) - A" + C₂^"-
++Cn
So, on setting /-0, we obtain that
det (-A) - Cnor det (A) - (-1)^cn
det (A)
i
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