basic linear algebra elements


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Summary
A function is a relation on A x B is which (i) no two second elements have a common first element. (ii) every first element has a corresponding second element...
Conclusion
Linear inequations denote a user-friendly branch of mathematics which enables us to be very comfortable with the number line and properties of numbers.Linear inequations denote a user-friendly branch of mathematics which enables us to be very comfortable with the number line and..
Simultaneous Equations
A linear equations in two variables x and y is of the form ax + by + c = 0 ( ) where a, b, c are real numbers. To find a solution for this equation, we can assign any value for one of the variables and find the value of the other variable such that the two sides of the equation are equal...
(iv) many - many
For one element of A there is more than one corresponding element of B and for one element of B there is more than one corresponding element of A. The relation is called 'onto' if every element of B has a corresponding element of A. For..
Substitution Method
Solve the Systems of linear equations by Method of Substitution: 2x - 9y = 0 (i) x - 18y = 27 (ii..
Conclusion
Linear inequations denote a user-friendly branch of mathematics which enables us to be very comfortable with the number line and properties of numbers...
Domain
The set of all the first elements of the ordered pairs of a function is called the domai..
Summary
A function is a relation on A x B is which A function is a relation on A x B is which (i) no two second elements have a common first element. (ii) every first element has a corresponding second element. Every function is either one-one onto or one-one i..
Functions (or Mappings)
Let A and B be two non-empty sets. A function f from A to B is an association of every element of A to an unique element in B. We write this as f : A g ..
(i) one - one
For each element of B there is one corresponding element of ..
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