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Gauss's method was to find the sum of 1-100. He tried adding with pairs 1 + 100 = 101, 2 + 99 = 101 and so on. Each pairs was going to equal 101. Half of 100 is 50, 50 x 101 = 5,050.

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What is difference between doolittle and gauss elimenaton method?

kuta panchod ha ya method....................................sala


Can we transform columns in gauss elimination method?

yes it is possible.not only columns but also rows can be transformed.


What are 3 methods to solving a system of linear equations?

u can use gauss jorden or gauss elimination method for solving linear equation u also use simple subtraction method for small linear equation also.. after that also there are many methods are available but above are most used


What are Carl Friedrich Gauss accomplishments?

At 24 years of age, he wrote a book called Disquisitines Arithmeticae, which is regarded today as one of the most influential books written in math. He also wrote the first modern book on number theory, and proved the law of quadratic reciprocity. In 1801, Gauss discovered and developed the method of least squares fitting, 10 years before Legendre, unfortunately, he didn't publish it. Gauss proved that every number is the sum of at most three triangular numbers and developed the algebra of congruences.


Why the Gauss -Seidel iterative method?

The Gauss-Seidel iterative method is used to solve systems of linear equations, particularly when direct methods may be inefficient or infeasible for large systems. It improves convergence by using the most recent updates of variable values in each iteration, which often leads to faster convergence compared to earlier methods like Jacobi. This method is particularly effective for diagonally dominant or symmetric positive definite matrices, making it a popular choice in numerical analysis and engineering applications. Its simplicity and ease of implementation further enhance its appeal in solving practical problems.

Related Questions

What are the advantages of gauss elimination method?

There are no answer for that..


What is difference between doolittle and gauss elimenaton method?

kuta panchod ha ya method....................................sala


Solve the following systems of simultaneous linear equations using Gauss elimination method and Gauss-Seidel Method?

Solve the following systems of simultaneous linear equations using Gauss elimination method and Gauss-Seidel Method 2x1+3x2+7x3 = 12 -----(1) x1-4x2+5x3 = 2 -----(2) 4x1+5x2-12x3= -3 ----(3) Answer: I'm not here to answer your university/college assignment questions. Please refer to the related question below and use the algorithm, which you should have in your notes anyway, to do the work yourself.


What did Carl Friedrich Gauss discover?

the method of adding all the numbers from 1~100


C programming code for gauss Jordon method to solve quadratic equation?

how to use gauss programming to find LM unit root test with structural breaks and kpss


Why does the Gauss-Seidel iterative method converge to a solution quicker than the Jacobi method?

The Gauss-Seidel iterative method converges more quickly than the Jacobi method primarily because it utilizes the most recently updated values as soon as they are available in the current iteration. In contrast, the Jacobi method relies solely on values from the previous iteration for all calculations, which can slow convergence. This immediate use of updated information in Gauss-Seidel allows for a more refined approximation of the solution with each iteration, leading to faster convergence, especially for well-conditioned systems.


Can we transform columns in gauss elimination method?

yes it is possible.not only columns but also rows can be transformed.


What are 3 methods to solving a system of linear equations?

u can use gauss jorden or gauss elimination method for solving linear equation u also use simple subtraction method for small linear equation also.. after that also there are many methods are available but above are most used


What did carl f gauss discover in maths?

He proved the "fundamental theorem of algebra" and developed a method of minimizing statistical error called "the method of least squares" which is still used today.


What is the sum of the first 1000 positive integers?

Using Gauss's method, 1+2+3...1000= 500x1001=500500 Answer:500500


Who were Karl friedrich gauss' parents?

Gebhard Dietrich Gauss and Dorothea Benz. Its CarlFriedrich Gauss, by the way.


How can Carl Gauss' inventions help you?

gauss icaatları