basic linear algebra elements


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(iii) one - many
For one element of A there is more than one corresponding element of B..
Range
The set of second elements in a relation is called Range. In example (6), Range is set B = {3, ..
Methods to Solve Simultaneous Equations
Simultaneous Equations - Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0, Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0, y = ..
Summary of Simultaneous Equations
Summary Simultaneous Equations - Finding the solution by the method of substitution. Finding the solution by the method of substitution. (i) Coefficients of one of the variables (say x) in the two equations are made equal, by multiplying them with suitable factors. (ii) By addition or subtraction, ..
Function
We consider two sets A and B. We form the Cartesian Product, we form relations. From all the relations, we can select a few which satisfy the rule that each element of the set A is related to only one element of the set B. When a relation satisfies this rule, it is called a fu..
Function
Function - We consider two sets A and B. We form the Cartesian Product, we form relations. From all the relations, we can select a few which satisfy the rule that each element of the set A is related to only one element of the set B. When a relation satisfies this rule, it is ca..
Function
Any relation on A x B in which (i) no two second elements have a common first element and (ii) every first element has a corresponding second element is called a function.Any relation on A x B in which (i) no two second elements have a common first ..
Relation
Consider the following sentences:Consider the following sentences: 42 is a multiple of 6. Line l is parallel to line m. 10 is greater than 7. In each case the first element is related to the last element by the relation in italics. The two elements named are members of..
1. One-one function
There is one-one correspondence between the elements of the set A and the set B..
Summary
An ordered pair has a pair of elements which occur in a definite order. The four types of relation are: one-one, many-one, one-many and many-man..
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