Maths

Continuity of a Function * A function ƒ(x) is continuous at x = c, if ƒ(x) is defined at x = c and lim_{x \rightarrow } c ƒ ( x) =n ƒ(c). * If ƒ is not continuous at x = c, then we say ƒ is discontinuous at c, and c is called a ... Read more

Determinants * Let A be the set of square matrices and B is a set of real or complex numbers. If a function, ƒ: A → B is defined by ƒ(x) = b, such that X ∈ A and b ∈ B, then ƒ(x) is called the determinant of X. * The determinant of A ... Read more

Fundamental of Matrices * A matrix is an ordered rectangular array of numbers or functions. The numbers or functions are called the elements or the entries of the matrix. Column matrix: A matrix is said to be column matrix if it has only one column. Row matrix: A matrix is said to be a row ... Read more

Basic Concept * The principal value branch of sin^{-1} is [ - \frac{π}{2} , \frac{π}{2}  ]. * The principal value branch of cos^{-1} is [ 0 , π ]. * The principal value branch of cosec^{-1}is [  -\frac{π}{2} , \frac{π}{2}  ]  - { 0 }. * The principal value branch of tan^{-1} is ( - ... Read more

Types of Relations * A relation R from a non-empty set A to another non-empty set B is the subset of A× B. * The subset, R, is derived by describing a relationship between the first element and the second element of the ordered pairs in A × B. * If n(A) = p, n(B) ... Read more