For any two numbers a and b, we can insert a number A between them such that a,A, b are in arithmetic progression. Here, A is called the arithmetic mean…
read moreTwo matrices A and B of same order 2 are said be inverses to each other if AB=BA=I, where ‘I’ is the unit matrix of same order 2. Here, A…
read moreA solution set is the set of values which satisfy a given inequality. It means, each and every value in the solution set will satisfy the inequality and no other…
read moreA sequence of numbers is said to be an arithmetic progression if the difference of any two successive terms in the sequence is always a constant. This constant difference is…
read moreUsually we will expand powers just by expanding it using normal multiplication or using the following formulae. (a+b)^2 = a^2 + 2ab + b^2 (a+b)^3 = a^3 + 3a^2b +…
read moreA sequence of numbers is said to be a geometric progression if the ratio of any two successive terms in the sequence is always a constant. This constant difference is…
read moreIn Mathematics, we see many theorems which are true for all natural numbers. Sometimes, proving these theorems directly is not possible. For this purpose, we use a method of proof…
read moreLet A and B be two non-empty sets. Then the relation which is usually denoted by R from A to B is defined as the set of ordered pairs (in…
read moreA relation from a set A to set B is nothing but a subset of the cartesian product of A and B which is denoted by AXB. The types of…
read moreThe subject of the formula is the variable which is on the left hand side of the formula. The subject of the formula can be changed using algebraic operations. Equations…
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