Question
and ∗ be the binary operation defined by
Compute the Cayley table fo
commutative? Is ∗ associative? Justify your answers.
Answer :
Word Count : 241
We are given: * Set: $S = \{1, 2, 3, 4\}$ * Binary operation: $a * b = a$ We are to: 1. Construct the Cayley table for $(S, *)$ 2. Check if $*$ is commutative 3. Check if $*$ is associative --- ### ✅ Step 1: Cayley Table Construction Recall: * A Cayley table shows the result of the __________ ___ __________ _________ _________ _____ __________ ____ ____ ___.
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We are given: * Set: $S = \{1, 2, 3, 4\}$ * Binary operation: $a * b = a$ We are to: 1. Construct the Cayley table for $(S, *)$ 2. Check if $*$ is commutative 3. Check if $*$ is associative --- ### ✅ Step 1: Cayley Table Construction Recall: * A Cayley table shows the result of the __________ ___ __________ _________ _________ _____ __________ ____ ____ ___.
_________ _________ ____ ______ ______ ___.
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