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If possible, construct an example of a noninvertible 4 x 4 matrix with only two distinct eigenvalues. If this is not possible, explain why. Let A, B, and C be 4 x 4 matrices, with A = 3C, det B = 3 and det C = -2. Compute det B-¹AB.

If possible, construct an example of a noninvertible 4 x 4 matrix with only two distinct eigenvalues. If this is not possible, explain why. Let A, B, and C be 4 x 4 matrices, with A = 3C, det B = 3 and det C = -2. Compute det B-¹AB.

Advanced Engineering Mathematics
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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If possible, construct an example of a noninvertible 4 x 4 matrix with only two distinct eigenvalues. If this is not possible, explain why. ) Let A, B, and C be 4 x 4 matrices, with A = 3C, det B = 3 and det C = -2. Compute det B-¹AB.
Transcribed Image Text:If possible, construct an example of a noninvertible 4 x 4 matrix with only two distinct eigenvalues. If this is not possible, explain why. ) Let A, B, and C be 4 x 4 matrices, with A = 3C, det B = 3 and det C = -2. Compute det B-¹AB.
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