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1. If a, b e R, prove the following. (a) If a + b = 0, then b = -a, (c) (-1)a= -a, (b) -(-a) = a, (d) (-1)(-1) = 1.

1. If a, b e R, prove the following. (a) If a + b = 0, then b = -a, (c) (-1)a= -a, (b) -(-a) = a, (d) (-1)(-1) = 1.

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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1. If a, b e R, prove the following. (a) If a + b = 0, then b = -a, (c) (-1)a= -a, (b) -(-a) = a, (d) (-1)(-1) = 1.
Transcribed Image Text:1. If a, b e R, prove the following. (a) If a + b = 0, then b = -a, (c) (-1)a= -a, (b) -(-a) = a, (d) (-1)(-1) = 1.
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