As long as the transformation A doesn't squish all of space into a lower dimension, meaning its determinant is non zero, there will be an inverse transformation, a inverse with the property that if you 1st do a then you do a inverse.

只要变换A没有把所有空间压缩到更低的维度 也就是说它的行列式非零 就会有一个逆变换 这个逆的性质是如果你先做A 然后再做逆。