Introduction to row spaces, columns spaces and null spaces For any given matrix ‘A’ of order mxn, there are three types of spaces associated to them: row(A), col (A), and null (A). These spaces are linked with the solution of Read More …
Category: Mathematics
What is the Secant method? Derivation of Secant method
Introduction to Secant Method What is the Secant method? Derivation of Secant method. The problem with the Newton Raphson’s method is that it requires the evaluation of the derivative for calculating each approximation of a root. Most of the times Read More …
What is the Newton Raphson Method? Derive formula for it.
What is the Newton Raphson Method(NR)? What is the Newton Raphson Method?. This method falls in the category of open bracketing methods. It is also called the method of tangents as it determines the root of an equation by drawing Read More …
what are the linearly dependent and independent vectors?
Linearly Independent Vectors: what are the linearly dependent and independent vectors? The vectors v1,v2,v3,…vn in a vector space V are said to be linearly dependent if there exist constants c1,c2,c3,….cn not all zero such that: c1v1+c2v2+c3v3+……+cnvn=0 ————————-(i) otherwise v1,v2,v3,…..vn are Read More …
What is the fixed point method?
What is the fixed-point-method? What is the fixed point method? One of the numerical methods for solving transcendental equations or algebraic equations is fixed-point (FP) method. This falls in the category of open bracketing methods. Open bracketing methods are those Read More …
What is the method of false position? Drive formula of it.
Introduction to the method of false position What is the method of false position?. Despite the fact that bisection is an entirely legitimate strategy for deciding roots, its “brute force” approach is generally wasteful. False position is an option dependent Read More …
How to find the basis of a vector space?
How to find the basis of a vector space? In order to find the basis of a vector space, we need to check two properties: The vectors should be linearly independent. These vectors should span in that vector space. If Read More …
Prove that Maclaurin series is the special case of Taylor’s series expansion.
Prove that Maclaurin series is the special case of Taylor’s series expansion. Prove that the Maclaurin series is the special case of Taylor’s series expansion. Taylor’s series is used for finding the value of a function at point ‘x2’ given Read More …
How to represent floats in computer system?
Representation of floats in computer system How to represent floats in computer system? Real numbers are stored as floats in computer system. We have two approaches for storing floats: single precision method double precision method What is the single precision? Read More …
What is the span of a vector space?
Introduction to span of a vector space For the given set of vectors v1,v2,v3,……vn that belong to a vector space V and non-zero constants c1,c2,c3,….cn if they can generate another vector x(x1,x2) using the relation c1v1+c2v2+c3v3+…….+cnvn=x then we will say Read More …