Number Theory
Scientific Notation - Notation of large number in terms of exponential form, 10 raised to required value. It is also a standart notation representation as " p x 10 q ". where 'p' and 'q' are any integer..
Questions on Number theory
Question 1 - Question: Define an even number. Answer: A number which is divisible by 2 is called an even numbe..
Set of question and answer on Number Theory
Question 1 - Question: For the given sequence, suggest possible next three terms and find the general term. 7, 11, 15,---- Answer: First term = 7, Common Difference = 11 - 7 = 15 - 11 = 4 Next three terms are 15 + 4 = 19, 19 + 4 = 23, 23 + 4 = ..
Homogeneous Equations (Constant = 0)
Consider the homogeneous equations a 1 x + b 1 y + c 1 z = 0 a 2 x + b 2 y + c 2 z = 0 a 3 x + b 3 y + c 3 z = 0 The homogenous system of equations is always consistent because x = 0, y = 0, z = 0 satisfies all the equations in the system. This solution is called the ..
Consider the homogeneous equations a 1 x + b 1 y + c 1 z = 0 a 2 x + b 2 y + c 2 z = 0 a 3 x + b 3 y + c 3 z = 0 The homogenous system of equations is always consistent because x = 0, y = 0, z = 0 satisfies all the equations in the system. This solution is called the ..Consistency and Inconsistency of a System of Linear Equations
A system of linear equations is said to be consistent if it has a solution. This means that the solution satisfies all the equations in the system simultaneously. If a system of linear equations has no solution, then it is said to be inconsiste..
Non Homogenous Equations (Solution by the Matrix Method)
Consider the non-homogeneous equations a 1 x + b 1 y + c 1 z = d 1 a 2 x + b 2 y + c 2 z = d 2 a 3 x + b 3 y + c 3 z = d 3 This can be written as |A| may or may not be ze..
Consider the non-homogeneous equations a 1 x + b 1 y + c 1 z = d 1 a 2 x + b 2 y + c 2 z = d 2 a 3 x + b 3 y + c 3 z = d 3 This can be written as |A| may or may not be ze..Universal Set
In any application of the theory of sets, the members of all sets under consideration usually belong to some fixed large set called the universal set. Usually we denote the universal set by the letter..
Sets Introduction
Introduction - In Mathematics, a well-defined collection of definite objects is called a set. George Cantor is regarded as the "Father of Set theory". The concept of "Sets" is basic in all branches of mathematics. It has proved to be of particular importance in the foundations of relation..
quantum theory equation
Question and Answers 1 Question and Answers 1.1 Question and Answers 1.2 Question and Answers 1.3 Question and Answers 1.4 ..
quantum theory equation
Question and Answers 3 Question and Answers 3.1 Question and Answers 3.2 Question and Answers 3.3 Question and Answers 3.4 ..
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