mass number element


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A set A is said to be a proper subset of B if B contains at least one element, which is not in..
(i) Roster Method
This method is also known as tabular method. In this method, a set is represented by listing all the elements of the set, the elements being separated by commas and are enclosed within flower brackets {..
Cardinality of a Set A
The number of elements in a finite set A, is the cardinality of A and is denoted by n(A..
Singleton Set or Singlets
A set consisting of a single element is called a singleton set or singlet. The cardinality of the singleton set is ..
Determinants
Let A = [aij] be a square matrix. We can associate with the square matrix A, a determinant which is formed by exactly the same array of elements of the matrix A. A determinant formed by the same array of elements of the square matrix A is called the determinant of the squ..
Subtraction of Matrices
Two matrices can be subtracted in the same way as they are added. We change the signs of the corresponding elements and then add the..
Union of sets
If two sets are given, a set can be formed by using all the elements of the two sets. Such a collection is called the union of the given set..
Elementary Transformation
Elementary transformations are of the following three types: Interchange of any two rows (or columns) The multiplication of the elements of a row (or column) by a non-zero number. The addition to the elements of any row (or column) the corresponding elements..
Solution:
If every element of A belongs to a set B, and every element of B belongs to C, then clearly every element of A belongs to C. In other words A B and B C then A C..
Alternate Definition:
Difference of two sets A and B, A - B is a set whose elements belong to A but not to B. A - B is called the relative complement of B w.r.t. ..
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