Theorem 3 ( Commutative laws)

Theorem 4 (Associative Laws)

Theorem 5 (distributive Laws)

The law a+b=b+a is called (a) closure law (b) associative law (c) commutative law (d) distributive law

Commutative and associative

Are the commutative law and associtive law applicable to vectors subtraction.

Theorem 1-2 ( Idempotent law and Identity law )

Theorem 5 ( De Morgans law) (DeMorgans Law)

Show that the operation '**' on Q - {1} defined by a**b=a+b-ab for all a,binQ-{1} , satisfies the commutative law.

Consider a binary operation. on N defined a ** b = a^3 + b^3. Choose the correct answer. (A) Is ** both associative and commutative? (B) Is ** commutative but not associative? (C) Is ** associative but not commutative? (D) Is ** neither commutative nor associative?

A binary operation * on Z defined by a*b=3a+b for all a,b in Z, is (a) commutative (b) associative (c) not commutative (d) commutative and associative