Summary
A well-defined collection of definite objects is called a set. In roster method of representing a set, all the elements are listed in the set. In property method of representing a set, all the elements are represented by stating all the properties which are satisfied by ..
Algebraic Properties of set operations
The Algebraic Properties of set operations are: Idempotent laws, Identity laws, Commutative laws, Associative laws, Distributive laws, De Morgan's Law..
Operations on Matrices
Equality of Matrices, Addition of Matrices, Matrix Addition is commutative, Matrix addition is associative, Subtraction of Matrices, Multiplication of a matrix by a scalar, Multiplication of Matrices, Properties of Matrix Multiplication, Transpose of a Matrix, Properties o..
Properties of Polynomials
Addition and subtraction of two polynomials mean combining like terms. We can perform multiplication and division al..
Properties of Transpose
(A T ) T = A (A + B) T = A T + B T , A and B being of the same order. (KA) T = KA T , k be any scalar (real or complex) (AB) T = B T A T ; A and B being conformable for the product A..
Operations on Sets
The Operations on Sets are: Union of sets, Intersection of sets, Disjoint sets, Difference of two sets (Relative complement), Symmetric Difference of two sets, Complement of a se..
Properties of Complex numbers
Properties of Complex numbers - If Z, Z 1 and Z 2 are complex numbers, th..
Properties of Complex numbers - If Z, Z 1 and Z 2 are complex numbers, th..Some properties of Addition and Subtraction of Matrices
The Properties of Matrices are: Commutative property, Distributive property, Associative property, additive inverse property. Zero matrix possesses identity property of additio..
Some Properties of A.P.
Some Properties of A.P. - If a,b,c,d are in A.P., then (ii) ka, kc, kb, kd are also in A.P. A remark on finding a few members of an A.P. whose sum is given along with other conditions: i) If the sum of three numbers in A.P. is given, take the numbers as a-d, a, a+..
Some Properties of A.P. - If a,b,c,d are in A.P., then (ii) ka, kc, kb, kd are also in A.P. A remark on finding a few members of an A.P. whose sum is given along with other conditions: i) If the sum of three numbers in A.P. is given, take the numbers as a-d, a, a+..Some properties of Addition and Subtraction of Matrices
(1) A + B = B + A (Commutative property) (2) k(A + B) = kA + kB (Distributive property) (3) (A + B) + C = A + B + C (Distributive property) (4) (A + B) + C = A + (B + C) (Associative property) A + O = O + A = A where O is zero or null matrix. A = A + O (5) A ..
(1) A + B = B + A (Commutative property) (2) k(A + B) = kA + kB (Distributive property) (3) (A + B) + C = A + B + C (Distributive property) (4) (A + B) + C = A + (B + C) (Associative property) A + O = O + A = A where O is zero or null matrix. A = A + O (5) A ..See what our Users say :
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