t;</span>      [,1] [,2] [,3]</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> [1,]    1    0    0</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> [2,]    0    1    0</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> [3,]    0   -4    1</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-in"><span></span></span>
<span class="r-in"><span><span class="co"># invert transformation matrix to reverse operations</span></span></span>
<span clas