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。
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。
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。
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。
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。
Begin by pushing the current set of matrices onto the stack, then call translate to change the displacement for your box.
一开始将当前的矩阵集保存到堆栈中，然后调用translate修改您的立方体的位移。
Among the most common tools in electrical engineering and computer science are rectangular grids of Numbers known as matrices.
在电子工程以及计算机科学使用的常见工具中，有一种被称为矩阵的数字组成的网格。
We'll make a slight change to the standard technique for multiplying matrices so that the previous algorithm can be applied here.
我们将对矩阵乘法的标准技术稍微进行一下修改，这样就可以使用前面介绍的算法了。
Additional transformations can be performed, and these are applied to the current set of matrices defined by the previous operations.
我们还可以定义额外的转换，并将它们应用到由之前操作所定义的当前矩阵集中。
For simplicity, the matrix viewer example contains homogeneous matrices where the matrix dimensions contain only one section each.
简单起见，矩阵查看器样例中是齐次矩阵(homogeneousmatrices)，即每个矩阵维度只包含一个部分。
As these functions use stack semantics, you can layer transformations for shapes and later remove them to restore the original matrices.
由于这些函数都使用堆栈语法，所以您可以对形状应用层次转换，并在后面将它们删除，以恢复原有矩阵。
As these functions use stack semantics, you can layer transformations for shapes and later remove them to restore the original matrices.
由于这些函数都使用堆栈语法，所以您可以对形状应用层次转换，并在后面将它们删除，以恢复原有矩阵。
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