definitions

It is a rectangular array of numbers, arranged in rows and columns. The number of rows (say m) and the number of columns (say n) determine the order of the matrix. It is written as m x n (to be read as m by n). The plural of matrix is matrices. Matrix is usually denoted by capital letters such as ..

If a and b are two quantities with the same units such that b is not equal to zero; then the quotient a/b is called the ratio between a and b. It is written as a:b. Ratio does not have any unit. The quantities a and b are called terms of the ratio. a' is called antecedent (first term) b' is c..

Set: A well-defined collection of distinct objects is called a set. Notation of Sets: Capital letters are usually used to denote or represent a set. Representation of Sets: There are two methods of representing a set. (i) Roster Method (ii) Set builder form. Finite an..

- 1 x cosine inverse x is q and write cos - 1 x = q . In particular, For practical purposes, only principal values of cos - 1 x are considered. cos - 1 x is a function of x with domain [-1,1] and range [0, p ]. The graph of cos - 1 x is as shown in the figure below..

- 1 x For x R, if q is an angle whose cotangent is x, then we say that cotangent inverse of x is q and write cot -1 x= q . In particular, For practical purposes, only principal values of cot - 1 x are considered..

- 1 x For x R - (-1,1), if q is an angle whose cosecant is x, then we say that cosecant inverse of x is q and write cosec -1 x = q . In particular, if q [ -p/ 2, p /2] - {0}, then q is called the principal value of cosec -1 x. For practical purposes, only principal value..

One ohm is the resistance of a conductor through which a current of 1 ampere flows when the potential difference across its ends is 1 vo..

Torque is the product of the magnitude of the force and the lever arm of the forc..

If I 1 = I 2 = 1 r = 1m then, F = 2x10 - 7 N/m One ampere is that much current which when flowing through each of the two parallel conductors of length 1m and separated by 1m in vacuum experiences an attractive or repulsive force of 2 x 10 - 7 N per metre of their lengt..

Let f (x) be a single valued continuous function defined in the interval [a,b] where b > 0 and let the interval [a,b] be divided into n equal parts each of length h, so that nh = b - a; then we defi..