Questions tagged [gaussian elimination]

SejongWisdomKeeperElite Wed Dec 25 2024 | 7 answers 1775

I'm trying to understand the objective of Gaussian elimination. I know it's a method used in linear algebra, but I want to grasp its main goal or purpose.

Andrea Wed Dec 25 2024 | 6 answers 1322

I'm trying to recall the three basic rules or steps of Gaussian elimination, which is a method used in linear algebra to solve systems of linear equations.

Martino Tue Dec 24 2024 | 7 answers 1517

I am wondering if Gaussian elimination, which is a method used to solve systems of linear equations, has any effect on the eigenvalues of a matrix. Specifically, does applying Gaussian elimination to a matrix alter its eigenvalues in any way?

charlotte_wright_coder Tue Dec 24 2024 | 0 answers 0

Gaussian elimination, also known as row reduction, is a mathematical algorithm widely used in real life for solving systems of linear equations, computing determinants, finding the inverse of a matrix, and more. It simplifies complex linear systems, making them easier to solve in various fields like engineering, physics, and computer science.

Tommaso Tue Dec 24 2024 | 7 answers 1605

I'm trying to understand the strategy behind Gaussian elimination. Could someone explain the steps and logic of this method for solving systems of linear equations?