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Tell whether the followign is a binary operation or not. Explain your answer by giving counter examples. Let GEZ, defined by a b=a²b² for all set a, b € Z. * Let GEN, defined by a*b = 2 + 3ab for all set a, b E N. Let GEZ, defined by a b = a + ab-b for all set a, b € Z-. Let GER, defined by a b = √a-b for all set a, b € R.

Tell whether the followign is a binary operation or not. Explain your answer by giving counter examples. Let GEZ, defined by a b=a²b² for all set a, b € Z. * Let GEN, defined by a*b = 2 + 3ab for all set a, b E N. Let GEZ, defined by a b = a + ab-b for all set a, b € Z-. Let GER, defined by a b = √a-b for all set a, b € R.

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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Tell whether the followign is a binary operation or not. Explain your answer by giving counter examples. Let GEZ, defined by a b=a²b² for all set a, b € Z. * Let GEN, defined by a*b = 2 + 3ab for all set a, b E N. Let GEZ, defined by a b = a + ab-b for all set a, b € Z-. Let GER, defined by a b = √a-b for all set a, b € R.
Transcribed Image Text:Tell whether the followign is a binary operation or not. Explain your answer by giving counter examples. Let GEZ, defined by a b=a²b² for all set a, b € Z. * Let GEN, defined by a*b = 2 + 3ab for all set a, b E N. Let GEZ, defined by a b = a + ab-b for all set a, b € Z-. Let GER, defined by a b = √a-b for all set a, b € R.
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