number properties and operations


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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..
Sets Summary
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 b..
Operations on Matrices
Equality of Matrices - Two matrices are said to be equal if they have the same order and their corresponding elements are equal. e.g., then a = 1, b = 2, c = 3, d = 4, e = 5 and f = ..
Properties of proportions
The Properties of proportions are: Invertendo, Alternendo, Componendo, Dividendo, Componendo and Dividend..
Properties of Determinants
If the rows and columns of a determinant are inter-changed, the value remains unaltered. If any two rows (columns) of a determinant are identical, its value of the determinant is zero. If any two rows (columns) of a determinant are interchanged, the value of the determinant is (-1) times th..
Properties of proportions
Invertendo - If a:b=c:d then b:a = d:c a:b=c:d Dividing 1 by each of these ratio..
Properties of Complex numbers
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+..
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