Simplest and efficient method of finding the inverse of a square matrix

May 2010
5
0
Discuss the simplest and efficient method of finding the inverse of a square matrix aij of order 3 x 3. Use it to find the inverse of matrix given below:
25 2 1
2 10 1
1 1 4


I woould appreciate if anyone solves it.
Thanks
 

HallsofIvy

MHF Helper
Apr 2005
20,249
7,909
Sounds to me like homework. Also sounds like what one would consider "simplest" would be a matter of personal taste.

Personally, I think writing the identity matrix beside the given matrix and then using row operations to reduce the matrix to the identity while applying those same operations to the identity matrix is simplest.
 
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