一个向量——例如，摄像机位置——乘以恰当的平移矩阵从而得到相应移动的向量。
A vector — for example, the camera position — multiplied by the correct matrix for translation results in a vector that moves accordingly.
是一个矩阵乘以一些未知的向量，等于一些已知的向量，怎么解？
X It's a matrix times some unknown vector, x, B equals some known vector, B How do we solve that?
我怎么用一个矩阵乘以一个向量呢？
对于我来讲，那个矩阵乘以这个矩阵表示我取一倍的那个列和两倍的那个列然后相加。
For me that matrix multiply this matrix multiplication say that I take one of that column and two of that column and add.
如果您将色彩向量乘以单位矩阵，色彩向量不会变更。
If you multiply a color vector by the identity matrix, the color vector does not change.
倍的x，当我用一个向量乘以一个矩阵时，我得到了一个列向量的(线性)组合。
A times x, when I multiply a matrix by a vector, I get a combination of the column.
当原始图像点乘以变换矩阵，得到新的图像位置点时，其位置可能不是整数值，该位置的灰度值需要通过灰度插值获得。
When the original image point multiply the transformation matrix, a new image position, the position may not integer, this position gray value by gray interpolation gain needed.
只要记住：如果你要用一个方阵，乘以一个列向量，当矩阵在左，向量在右的时候乘积才有意义。
It's just something to remember: if you have a square matrix times a column vector, the product that makes sense is with the matrix on the left, and the vector on the right.
将矩阵乘以纹理画笔的转换矩阵。
Multiplies the matrix with the transformation matrix of the texture brush.
将矩阵乘以纹理画笔的转换矩阵。
Multiplies the matrix with the transformation matrix of the texture brush.
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