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个人解决了6个问题，但实际上更像4个。

Well, let's look at the confusion matrices!

好吧，们就来看看这个混淆矩阵模型！

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。

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

他们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，它们的先后顺序影响结？

You often think of these as rotation matrices.

您通常它们视为旋转矩阵。

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

们的 32 个方块中的每一个都有 4 个矩阵，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，们一直在单个数字或字母存储到们的数组或矩阵中。

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

他们称之为 SO(3)，通常根据某个 3×3 矩阵族来定义。

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

那么当们过去有矩阵时们是如何解决游戏的？

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

它们是无法参透的大型浮点数矩阵，们在朝着更好的性能试探着前进，直到它们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，们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 这里有一个问题 当们把两个矩阵相乘时 们把它们按什么顺序排列有关系？

That composition of three matrices gives us the transformation matrix.

三个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更好地工作。

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们画了很多矩阵，现在们要画树。

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

下一个视频 根据大家的要求 是一个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.

为了使风险管理更加系统化， 他们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，当涉及到 3D 形状以及使用矩阵从一个坐标系到另一个坐标系的转换时，们跳过了很多细节。