That composition of three matrices gives us the transformation matrix.

三个矩阵的组合给出了变换矩阵。

Then apply the transformation matrix to what you get by multiplying it on the left.

然后把变换矩阵应用到左边乘以它得到的东西上。

And to solve your equation, you just have to multiply that reverse transformation matrix by the vector V.

为了解这个方程 你只需要用这个逆变换矩阵乘以向量V。

But, and this is the key idea of determinance, all of the areas get scaled by the same amount, namely, the determinant of our transformation matrix.

但是 这是行列式的关键思想 所有的面积都被等量缩放 也就是变换矩阵的行列式。