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
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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
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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