Z+ as follows: For a, b € Z+, a*b = a - b + 1. Z+? Explain. (3.1) Define an operation * on Is * a binary operation on
Z+ as follows: For a, b € Z+, a*b = a - b + 1. Z+? Explain. (3.1) Define an operation * on Is * a binary operation on
Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Transcribed Image Text:(3.1) Define an operation * on Z+ as follows: For a, b €Z+, a*b =a − b +1.
Is a binary operation on Z+? Explain.
(3.2) Define * on Z by a*b = 2, where z is the largest integer less than ab.
(3.2.1) Show that is a binary operation on Z.
(3.2.2) What is 3 * 5?
(3.2.3) Is commutative?
(3.2.4) Is (2*3)*4 = 2 * (3 * 4)? Can you conclude that is * associative?
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