Conclusion
In this chapter, we have seen how arranging numbers in orderly rows and columns under the guise of Matrices and Determinants, has helped to solve linear equations or find the area of a triangle. There are in fact other much wider applications in Science and Engineering and other fields...
Conclusion
In this chapter, we have learnt the application of permutations and combinations, the fundamental counting principle and relation between n C r and n P r..
Permutations and Combinations Conclusion
Conclusion - In this chapter, we have learnt the application of permutations and combinations, the fundamental counting principle and relation between n C r and n P r..
Summary
Let X be a set of numbers and f : N n --> X be a function, then the ordered set {f(1), f(2),...., f(n)} is called a finite sequence in X...
Sequences and Series Examples
Summary - (i) Let X be a set of numbers and f : N n X be a function, then the ordered set {f(1), f(2),...., f(n)} is called a finite sequence in X. (ii) Let X be a set of numbers and f : N X be a function, then the ordered set {f(1), f(2),....} is called an infinite se..
Definition of a Matrix
A rectangular array of entries is called a Matrix. The entries may be real, complex or functions. The entries are also called as the elements of the matrix. The rectangular array of entries are enclosed in an ordinary bracket or in square bracket. Matrices are denoted by capital lette..
Sequences and Series
A set of numbers arranged in a definite order according to some definite rule is called a sequence. A sequence is a function whose domain is the set N of natural numbers. Indicated sum of the terms in a sequence is called a series. The result of performing the additions is the..
Sequences and Series
Sequence - A set of numbers arranged in a definite order according to some definite rule is called a sequence. or A sequence is a function whose domain is the set N of natural numbers. It is customary to denote a sequence by a letter 'a' and the image a(n) or t(n), n N under 'a' by a n or..
Find the value of c that satisfies the conclusion of the mean value th..
Find the value of c that satisfies the conclusion of the mean value theorem for the function f ( x ) = ln x in [1, e ]. => e + 1 or e + 1 2 or e - 1 or e..
Find the value of c that satisfies the conclusion of the mean value th..
Find the value of c that satisfies the conclusion of the mean value theorem for the function f ( x ) = e x in [0, 1]. => ln ( e + 1) or 1 or ln ( e - 2) or ln ( e - 1)..
Result
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