On average, volunteers report having solved six matrices, when it was really more like four.

志愿者的报告上显示平均每人解决了6问题，但实际上4。

Well, let's look at the confusion matrices!

好吧，就来看看这混淆矩阵模型！

You can't make visual effects without vectors and matrices.

没有向量和矩阵就无法制作视觉效果。

They were asked to complete as many matrices as they could in three minutes.

他被要求在三分钟内完成尽可能多的矩阵。

Does it matter what order we put the two matrices in when we multiply them?

矩阵相乘时，它的先后顺序影响结果吗？

You often think of these as rotation matrices.

您通常它视为旋转矩阵。

Each of our 32 squares has 4 matrices, so that’s 32 thousand, 7 hundred and 68 bits.

的 32 方块中的每一都有 4 矩阵，所以是 32,000，700 和 68 位。

So far, we've been storing individual numbers or letters into our arrays or matrices.

到目前为止，一直在单数字或字母存储到的数组或矩阵中。

They call it SO(3), typically defined in terms of a certain family  of 3-by-3 matrices.

他称之为 SO(3)，通常根据某 3×3 矩阵族来定义。

So when we've had matrices in the past how have we solved the game?

那么过去有矩阵时是如何解决游戏的？

They are giant, inscrutable matrices of floating point numbers that we nudge in the direction of better performance until they inexplicably start working.

它是无法参透的大型浮点数矩阵，在朝着好的性能试探着前进，直到它莫名其妙地运行起来。

Speaking of detective work, let's talk more about risk assessment and those risk matrices.

说到侦探工作，不妨深入探讨一下风险评估和那些风险矩阵。

E.G., here's a question Does it matter what order we put the two matrices in when we multiply?

例 这里有一问题 把两矩阵相乘时 把它按什么顺序排列有关系吗？

That composition of three matrices gives us the transformation matrix.

三矩阵的组合给出了变换矩阵。

There are a lot of things that make diagonal matrices much nicer to work with.

有很多东西可以使对角矩阵好地工作。

And still with unit lengths. You often think of these as the rotation matrices.

还是单位长度 你通常认为这些是旋转矩阵。

So in the first half of the class we drew a lot of matrices, now we're going to draw trees.

所以在课程的前半部分画了很多矩阵，现在要画树。

Next video, by popular request, will be a brief footnote about non square matrices.

下一视频 根据大家的要求 是一关于非方阵的简短脚注。

And to make it more structured, they use something called risk matrices, visual tools to categorize risks based on their likelihood and severity.

为了使风险管理加系统化， 他采用了所谓的风险矩阵，这是一种可视化工具， 用于根据风险发生的可能性和严重程度对其进行分类。

Additionally, we skipped a lot of detail when it  came to 3D shapes and transformations from one coordinate system to another using matrices.

此外，涉及到 3D 形状以及使用矩阵从一坐标系到另一坐标系的转换时，跳过了很多细节。