find the inverse of

1 2 -3

3 2 -1

2 1 3

if there is

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- May 12th 2010, 11:09 PMswiftshiftFinding inverse of a matrix (A^-1)
find the inverse of

1 2 -3

3 2 -1

2 1 3

if there is - May 13th 2010, 12:27 AMkaelbuhow to find the inverse
The inverse can be found by setting this matrix equal to the identity matrix and row reducing so that the identity matrix is on the other side of equal sign (the inverse matrix will be where the identity matrix is originally).

So

1 2 -3 | 1 0 0

3 2 -1 | 0 1 0

2 1 3 | 0 0 1

Does that help? - May 13th 2010, 12:34 AMSudharaka
Dear swiftshift,

$\displaystyle \left(\begin{array}{ccc}1&2&-3\\3&2&-1\\2&1&3\end{array}\right)\times\left(\begin{array }{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right)=\left( \begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\r ight)$

By matrix multiplication you could obtain nine equations and solve for the unknowns. - May 13th 2010, 03:20 AMswiftshift
- May 13th 2010, 05:01 AMHallsofIvy