# Inversion of a cycle

1. Jan 27, 2012

### rayman123

1. The problem statement, all variables and given/known data
Find an inversion of the following cycle
$$(143)$$

2. Relevant equations
$$(143)^{-1}$$

3. The attempt at a solution

Could someone show me how do we compute this?
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Jan 27, 2012

### tiny-tim

hi rayman123!

just go back to the definition of (143) …

what does (143) do to 1?
what does (143) do to 3?
what does (143) do to 4?

now what would its inversion do to 1, to 3, and to 4?

3. Jan 27, 2012

### rayman123

I guess 1 is being moved to 4
4 goes to 3
and 3 goes to 1

I do not know...:(

I know how to find an inversion for something like that for example
$$\left( {\begin{array}{cc} 123 \\ 231 \\ \end{array} } \right)^{-1}=\left( {\begin{array}{cc} 231 \\ 123 \\ \end{array} } \right)=\left( {\begin{array}{cc} 123 \\ 312 \\ \end{array} } \right)$$

4. Jan 27, 2012

### tiny-tim

ok, then write (143) in that two-row form, and then invert it