find inverse of matrix A, verify that AA to power -1=1

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.
king&i
Posts: 24
Joined: Sat Mar 07, 2009 5:13 pm

find inverse of matrix A, verify that AA to power -1=1

Postby king&i » Thu Apr 16, 2009 5:28 pm

the inverse of a matrix can be created by a gauss-jordan appoach. consider row operations than turn the first matrix into the second. the inverse is the second part of the second matrix.

Code: Select all

 first matrix        second matrix
 a b c 1 0 0     =    1 0 0 r s t
 d e f 0 1 0     =    0 1 0 u v w
 g h i 0 0 1     =    0 0 1 x y z


Find the inverse of matrix A, listed below, using this technique.

Code: Select all

    2 3 -1
A=  4 2  1
    1 3  5

verify that you have the inverse by using the property that AA to the power of -1=1


king&i
Posts: 24
Joined: Sat Mar 07, 2009 5:13 pm

Re: find inverse of matrix A, verify that AA to power -1=1

Postby king&i » Sat Apr 18, 2009 4:39 pm

nvrmd i got it


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