Inverse Matrix by Gauss-Jordan Elimination | Linear Algebra

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We introduce a simple inverse matrix algorithm. We find an inverse matrix using Gauss Jordan elimination. By converting a matrix to its reduced row echelon form, we can simultaneously convert an identity matrix into the inverse. We will use an augmented matrix and a sequence of elementary row operations to perform this process. We also see an example of applying this algorithm to a non-invertible matrix. #linearalgebra

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0:00 Intro
0:27 Justification of the Algorithm
2:38 Inverse Matrix 1
5:12 Inverse Matrix 2
6:38 Non-Invertible Matrix
7:38 Outro

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Комментарии
Автор

THANK GOODNESS! I hate listening to my professor yap in lecture for 2 hours when you could explain everything I need to know in 8 min.

abdikhaliqaden
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man the outro is another story 😂 thanks for information I make a revision with you to my knowledge

maher
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I went another way and ended up in the second examlpe with R1: 12/3 -15/3 -6/3 R2:15/3 -18/3 -6/3 R3: -8 9 3 Just needed to break down my result though.

pianoplayerable
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Inverse matrix? More like "Interesting, and makes sense!"

PunmasterSTP