modern atomic theory elements

Question 1 - Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Keral..

A set A is said to be a proper subset of B if B contains at least one element, which is not in..

A scalar matrix is a diagonal matrix in which all the diagonal elements are equa..

A set is finite if it contains a specific number of elements. Otherwise, a set is an infinite s..

The number of elements in a finite set A, is the cardinality of A and is denoted by n(A..

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..

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..

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 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 o..

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..