Diagonally dominant matrices allow us to guarantee that there is a unique solution for our system of equations. Therefore, determining if a matrix is diagonally dominant is very important to iterative methods. To determine if a given matrix is diagonally dominant you must go through row by row and ensure that the sum of the magnitudes of all other elements in a given row is less than that of the element on the diagonal!
This timeline is meant to help you better understand what are diagonal dominant matrices:
0:00 Introduction.
0:07 Diagonal dominant matrix condition.
1:16 Diagonal Dominant matrices example 1.
1:50 Diagonal Dominant matrices example 2.
2:30 Outro
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This video is part of our Numerical Methods course. Numerical methods is about solving math problems through approximating the solution of problems that would be difficult or impossible to solve analytically. In this playlist we will cover topics such as solving systems of linear equations, solving systems of non-linear equations, numerical integration, numerical derivatives, etc.. #studysession #numericalmethods #maths