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Let A = Find all true statements. 1. A- = XDX-1 where D is the diagonal matrix with diagonal entries 1/2 and 1. II. The exponential matrix e4 is nondefective. 10 II. There exist a nonsingular matrix X such that A? = XBx 'where B = 0 4 O A. I, II B. all of them C. none of them O D. II, IV

Let A = Find all true statements. 1. A- = XDX-1 where D is the diagonal matrix with diagonal entries 1/2 and 1. II. The exponential matrix e4 is nondefective. 10 II. There exist a nonsingular matrix X such that A? = XBx 'where B = 0 4 O A. I, II B. all of them C. none of them O D. II, IV

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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2 Let A Find all true statements. 1. A-1 = XDX1 where D is the diagonal matrix with diagonal entries 1/2 and 1. II. The exponential matrix e4 is nondefective. 1 0 II. There exist a nonsingular matrix X such that A? = XBX 1where B = 0 4 %3D O A. I, II B. all of them C. none of them D. II, IV E. I, IV
Transcribed Image Text:2 Let A Find all true statements. 1. A-1 = XDX1 where D is the diagonal matrix with diagonal entries 1/2 and 1. II. The exponential matrix e4 is nondefective. 1 0 II. There exist a nonsingular matrix X such that A? = XBX 1where B = 0 4 %3D O A. I, II B. all of them C. none of them D. II, IV E. I, IV
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