Show that if a, b, c ER then: (e) If a 0, then a-¹ #0 and (-a)-¹ = (a-¹). (f) a¹ =1⇒a= 1. (g) (-a)²=a². (h) (ab)² = a²b².
Show that if a, b, c ER then: (e) If a 0, then a-¹ #0 and (-a)-¹ = (a-¹). (f) a¹ =1⇒a= 1. (g) (-a)²=a². (h) (ab)² = a²b².
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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Show that if a, b, c ER then:
(e) If a ≠ 0, then a-1 ≠ 0 and (-a)-1=-(a-1).
(f) a-l=1⇒ a = 1.
(g) (-a)2= a².
(h) (ab)2 = a262.
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