All matrices can be factorised, usually in a variety of ways.
所有矩阵通常都能以各种方式因式分解。
However, Laplace expansion is efficient for small matrices only.
但是，拉普拉斯展开仅对小型矩阵有效。
It means they are the inverse matrices.
这就意味着它们是互逆的两个矩阵。
OK, now we know how to multiply matrices.
好，现在我们知道怎么把两个矩阵相乘了。
So, what does it mean to multiply matrices?
那么，两个矩阵乘起来是什么意思？
Auto-refresh feature for both tables and matrices.
表格和矩阵的自动刷新特性。
But matrices can also represent mathematical equations.
然而，矩阵也同样能够用来表示数学方程。
You then create the following two matrices: in and out.
接下来，您创建了以下两个矩阵：in和out。
Support for Association as a cell element type in matrices.
对组织作为矩阵中一个基本元素类型的支持。
In a sense, substitution matrices code up chemical properties.
在某种意义上，替换矩阵是对化学属性的编码。
These hints can be used in similar matrices with other maturity models.
这些提示可以在其他成熟度模型的类似矩阵中使用。
After some initialization, you push the current coordinate matrices to the stack.
在进行一些初始化之后，您可以将当前的坐标矩阵压入堆栈。
Visually, they can be represented as ten-by-ten matrices of black and white squares.
它们可以可视化地表示为10乘10的黑白方块矩阵。
The other matrices define the position of the camera and the position of the world.
其他的矩阵定义了摄像机的位置和世界的位置。
OK, so we've seen how to multiply matrices, and how to write linear systems in matrix form.
我们学过矩阵乘法的，以及用矩阵表示线性方程。
And finally, I like to add references to both external and internal resources to the matrices.
最后，我想将外部和内部资源的参考加到这个矩阵中。
The company employs a software program that lets it see the data it gets in two-dimensional matrices.
该公司使用了一个软件程序以二维矩阵方式查看数据。
Probably some of you have seen about matrices a little bit in high school, but certainly not all of you.
可能有些同学,在中学已经学了一点矩阵，但肯定不是所有人都学过。
Note that the inv function USES SPL nested lists to represent matrices, as there is no matrix type in SPL.
请注意，inv函数使用SPL嵌套列表来表示矩阵，因为SPL中没有矩阵类型。
And they are not Numbers, they are not vectors, they are not matrices, they are a different kind of object.
不是数字，不是向量，也不是矩阵，它们是不同的数学对象。
Their tutorial also includes the slightly more advanced topics of 3-dimensional matrices and error reporting.
他们的教程还包括三维矩阵和错误报告等稍稍高级的主题。
So, that's one thing that maybe we didn't emphasize enough when we did matrices at the beginning of a semester.
也许在学期初学习矩阵的时侯,我们并没有充分的强调它。
The matrices in CwMtx include vectors and square matrices, where vectors include space vectors and quaternions.
CwMtx中的矩阵包括向量和方阵，其中向量包括空间向量和四元数。
For projects coded in c, Meschach (pronounced: me-shark) provides routines for operating on matrices and vectors.
对于用c编写代码的项目，Meschach(读作me - shark)提供了例程，用于矩阵和向量的运算。
I'd argue that MATLAB is basically a targeted language it's targeted at matrices and vectors and things like that.
我认为MATLAB是有特定处理对象的语言，它主要，面向矩阵和向量等。
It's easy to tell whether these simpler matrices have banded inverses, and if they do, their combination will, too.
判断这些简单矩阵是否有带状逆阵要更容易，而如果它们有，那他们组合起来也会有。
But now, let's see that we have two matrices like that telling us how to transform from something to something else.
而现在，我们来看，有两个像这样的矩阵，来表示把某种东西转化为另一种东西。
So let me just introduce you to a little bit about matrices just enough for what we will need later on in this class.
所以我稍微讲一下矩阵，这些东西都是这节课上立马要用到的。
So engineers are interested in banded matrices with banded inverses, but which matrices those are is by no means obvious.
因此，工程师们才对拥有带状逆阵的带状矩阵感兴趣，然而那些是什么样的矩阵却并非显而易见。
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