Archive for March, 2009

Matrix Transpose

Matrix transpose is a math method where the rows and columns of a matrix interchange. The definition of a matrix transpose is show below.

Definition of transpose

The definition of transpose is to move a term from one side of an equation to the other side of the equation with a corresponding change of sign. For example, if we were to transpose the equation:

x – y = 2

we will get the transposed equation of x = y +2

Definition of matrix transpose

Matrix

and the matrix transpose of this matrix is:

Matrix transpose

Runge Kutta Method

Runge Kutta Method is used in numerical analysis. There is a first order Runge Kutta method as well as the second order Runge Kutta method. Below is Runge Kutta explained.

What is Runge Kutta Method?

Runge Kutta Method is the approximately solving a differential equation by approximating the Taylor polynomial of a given degree.

The Runge Kutta mid point method solves:

Runge Kutta Method

for a < t < b by setting

Runge Kutta

and iteratively solving:

Runge Kutta equation

for i < N, to estimate the solution over the interval. Runge Kutta method is often compared to the Simpson’s Rule in numerical analysis.

Math Help Step By Step

math help step by step
Question: I really need help with this math problem step by step?

A man was out of town for 92 days of the 365 days in a year. About what part of the year was the man out of town?
A 4 percent
B 25 percent
C 75 percent
D 92 percent

Answer: You divide 92 by 365. Doing so, the answer is approximately .25 or 25%. Your answer is B.

Math Skills & Equations : Step-By-Step Solutions for Algebra