matrix question( for people of faculty of maths )

2007-10-07 5:58 am
http://www.hkedcity.net/sch_files/a/kst/kst-06185/public_html/matrix.jpg

please check the above picture.

i know that someone who study maths in university have different method to find the inverse of matrix, the "appraoch" is listed above, but can anyone show me the steps and the theory behind?

show me the steps is in first priority.

回答 (1)

2007-10-07 12:42 pm
✔ 最佳答案
http://en.wikipedia.org/wiki/Gauss-Jordan_elimination

It is Gauss-Jordan Elimination

Here is an example:
http://mat.gsia.cmu.edu/QUANT/NOTES/chap1/node6.html

The idea is that elementary row operation (adding rows, or scalar multiplication ) doesn't change matrix equation.
AB = I
after operation,
IB= new Matrix = Inverse!
參考: Refer to the Links


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