1. Commutative Law : A + B = B + A
2. Associative Law : (A + B) + C = A + (B + C)
3. Existence of additive identity : A + O = O + A = A
4. Equivalence, if Reflexive, Symmetric, and Transitive Relation.
Scalar Multiplication :-
1. k(A + B) = kA + kB
2. A(k + l) = kA + kl
Multiplication :-
1. Associative Law : (A.B).C = A.(B.C)
2. Existence of multiplicative identity : AI = IA = A
3. Distributive Law : (i) A (B + C) = AB + AC and (ii) (A + B) C = AC + BC
Transpose :-
1. (A')' = A
2. (kA)' = kA'
3. (A + B)' = A' + B'
4. (AB)' = A'B'
