scalar function example

(c f) (x) = c.f (x) for all x Domain (..

A scalar matrix is a diagonal matrix in which all the diagonal elements are equa..

Let A=[a i j ] be an m x n matrix and k be any number called a scalar. Then the matrix obtained by multiplying every element of A by k is called the scalar multiple of A by k and is denoted by kA. Thus, kA = [k a i j ] m x ..

Multiplication of a Matrix by a Scalar - When a matrix is multiplied by a scalar factor k, then each element of the matrix is multiplied by ..

Multiplication of Vectors by Real Numbers, i.e., Scalar Multiple of a Vector - The multiplication of a vector by a real number assumes a lot of significance in such statements as - velocity of car B is double the velocity of car A l . When a vector is multiplied by a real number, say l , ..

The following are the Operation on Real Functions: Sum Function, Difference Function, Product Function, Quotient Function, Scalar Multiplication Function, Composite Functions, Inverse Functions..

the same as those of . But, if the scalar has a certain unit, then the unit of l will be different from that of..

A function f : A B is said to be an even function if f(x) = f(-x) for all x A. The domain and range of f depends on the definition of the function. Examples of even function are y = cosx, y = x 2 , y = secx A polynomial with only even powers of x i..

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 fuc..

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 element and (ii) ev..