Problem 2. Suppose that A is an n x n matrix and det(A) = 2, det(A + I) = 3, and det(A+ 21) = 5. Compute the following. (a) det(A + 3A³ + 2A²) (b) det(-¿A°(A+I1)º) (c) det(3A"(A+ 21)-!)
Problem 2. Suppose that A is an n x n matrix and det(A) = 2, det(A + I) = 3, and det(A+ 21) = 5. Compute the following. (a) det(A + 3A³ + 2A²) (b) det(-¿A°(A+I1)º) (c) det(3A"(A+ 21)-!)
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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Transcribed Image Text:Problem 2. Suppose that A is an n x n matrix and det(A) = 2, det(A+ I) = 3, and
det (A + 21) = 5. Compute the following.
(a) det(Aª + 3A³ + 2A²)
(b) det(-A°(A+ I)*)
(c) det(3A"(A+ 21)-1)
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