Remember, the type of answer you get here can depend on whether or not the transformation squishes all of space into a lower dimension.

记住 你在这里得到的答案类型取决于变换是否将所有空间压缩到更低的维度。

The goal here is to find a value of Lambda that will make this determinant zero, meaning the tweaked transformation squishes space into a lower dimension.

这里的目标是找到使这个行列式为零的Lambda值 这意味着调整后的转换将空间压缩到更低的维度。

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。