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Problem 7. Let A be an nxn matrix. (a) Prove that if A is singular, then adi A must also be singular.

Problem 7. Let A be an nxn matrix. (a) Prove that if A is singular, then adi A must also be singular.

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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Problem 7. Let A be an nxn matrix. (a) Prove that if A is singular, then adj A must also be singular. n-1 (b) Show that if n ≥ 2, then det (adj A) = [det(A)]¹−¹.
Transcribed Image Text:Problem 7. Let A be an nxn matrix. (a) Prove that if A is singular, then adj A must also be singular. n-1 (b) Show that if n ≥ 2, then det (adj A) = [det(A)]¹−¹.
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