Equipped with the right applications, a computer can be of great help in virtually any domain of activity. When it comes to designing and precision, no other tool is as accurate as a computer. Moreover, specialized applications such as AutoCAD give you the possibility to design nearly anything ranging from art, to complex mechanical parts or even buildings.
Suitable for business environments and experienced users
After a decent amount of time spent installing the application on your system, you are ready to fire it up. Thanks to the office suite like interface, all of its features are cleverly organized in categories. At a first look, it looks easy enough to use, but the abundance of features it comes equipped with leaves room for second thoughts.
Create 2D and 3D objects
You can make use of basic geometrical shapes to define your objects, as well as draw custom ones. Needless to say that you can take advantage of a multitude of tools that aim to enhance precision. A grid can be enabled so that you can easily snap elements, as well as adding anchor points to fully customize shapes.
With a little imagination and patience on your behalf, nearly anything can be achieved. Available tools allow you to create 3D objects from scratch and have them fully enhanced with high-quality textures. A powerful navigation pane is put at your disposal so that you can carefully position the camera to get a clearer view of the area of interest.
Various export possibilities
Similar to a modern web browser, each project is displayed in its own tab. This comes in handy, especially for comparison views. Moreover, layouts and layers also play important roles, as it makes objects handling a little easier.
Sine the application is not the easiest to carry around, requiring a slightly sophisticated machine to properly run, there are several export options put at your disposal so that the projects itself can be moved around.
Aside from the application specific format, you can save as an image file of multiple types, PDF, FBX and a few more. Additionally, it can be sent via email, directly printed out on a sheet of paper, or even sent to a 3D printing service, if available.
To end with
All in all, AutoCAD remains one of the top applications used by professionals to achieve great precision with projects of nearly any type. It encourages usage with incredible offers for student licenses so you get acquainted with its abundance of features early on. A lot can be said about what it can and can't do, but the true surprise lies in discovering it step-by-step.

AutoCAD LT was the first major commercial release of AutoCAD. Launched in 1990, the LT version was a toolset that supported primarily the creation of 2D drawings. In 2006, AutoCAD 2000 was renamed AutoCAD LT. AutoCAD 2007 was released for the first time for Microsoft Windows. The 2007 release also introduced several new concepts, including Dynamic Input and Output. In 2010, Autodesk officially recognized the open source version of AutoCAD, called AutoCAD LT, as a compatible version for the commercial AutoCAD and AutoCAD LT products.

In April 2011, AutoCAD 2013 was released for the first time for Apple Macintosh and Windows. AutoCAD 2013 introduced the ability to create 2D drawings on iPads and other touch devices. In August 2011, AutoCAD 2014 was released for the first time for Linux and Macintosh.

Features:

Flexibility

The applications are not limited to the type of drawings you can create, but extend to all fields in which you can imagine. AutoCAD is a tool designed to suit your specific needs. You may choose to work solely with the 2D drawings or with the 2D drawings as well as 3D models.

A variety of tools are available to create your designs. The following tools are available with AutoCAD:

Drafting

Drafting is the process of creating the look and feel of a model. AutoCAD LT has a built-in Drafting Table which you can use to draw freehand on paper.

Draping

Drawing with Drapes

Drawing with Drapes is a method of freehand drawing on paper. Draping is the ideal tool for creating fine details.

Docking

Creating 2D and 3D objects, as well as creating 2D and 3D drawings from a single model

Creating 2D and 3D objects, as well as creating 2D and 3D drawings from a single model Planimetric Drawing

Creating a plan view drawing with perspective from a 2D drawing

Creating a plan view drawing with perspective from a 2D drawing Orthogonal Drawing

Creating a drawing that can be rotated around a central axis from a 2D drawing

Creating a drawing that can be rotated around a central axis from a 2D drawing Linear drawing

Creating a drawing that can be scaled along an axis from a 2D drawing

Creating a

CIM (computer-aided design) and BIM (building information modelling)
CIM is the specification of the essential components of CNC’s (Computer Numerically Controlled) part programming functionality. In this case, ‘CNC’ stands for Computer Numerical Control, and part programming is a mechanical process which can be programmed and carried out on a CNC machine. AutoCAD uses CIM to describe the location of tools and their sequence, regardless of the machine.

RLE (run length encoding)
The drawing file format used in AutoCAD is RLE (Rasterised Line End). It was developed by Scott Eells for AutoCAD, in the early 1980s.
RLE is a way of creating and saving vector images using an array of data. It uses, in turn, an array of components, each of which takes a number of bits, and a bit-size value. The components are line segments, arcs, and curves. For example, a line may have the components defined by the x and y values, and a line-length. The line-length components would be a bit-size and the number of bits used. The other components may be defined similarly.
RLE was developed to make it easy to represent parts of a drawing. The array of components and bit-size value allow the image to be broken up into a series of “lines”. Lines may vary in length and number, and can be joined or split together to form different shapes.
A number of free open source libraries to work with RLE are available.

Paints
The built-in “Auto Paint” feature in AutoCAD is not capable of recreating accurately every possible colour combination. To overcome this, AutoCAD 2005 introduced a new method of creating colours, called the Color Schemes feature. It is the most common solution used to create colour schemes in AutoCAD. It enables a designer to create numerous colour palettes for a drawing. It is a useful tool for designers of all levels.

Print
Autodesk provides native printing support within AutoCAD 2009 and up.

AutoCAD uses print rendering technology to render the screen display, including text and annotations, to a raster format. This enables the printer to render the screen in a way that is more reflective of the original drawing.

In addition, many of the annotations, such as text, line endpoints and footnotes, have their own
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Q:

How do I take the kronecker product of a vector and a matrix?

How can I take the Kronecker product of a vector and a matrix?

A:

The Kronecker product of a matrix with a vector is a vector.
If $C = C_1 \otimes C_2$ is the Kronecker product of two matrices, then $C$ is a square matrix.
The $k$-th row of $C$ is a vector $v_k = C_1 \otimes e_k$, where $\{e_k\}_{k=1}^n$ are the standard basis vectors.
The $l$-th column of $C$ is a vector $u_l = e_l \otimes C_2$, where $\{e_k\}_{k=1}^n$ are the standard basis vectors.
Notice that
$$u_l(k) = \sum_{i=1}^n C_2(i,l) e_i(k)$$
That is, $C$ is the matrix of the linear map from $\Bbb{R}^n$ to $\Bbb{R}^n$ with $C_1$ as the input and $C_2$ as the output.
EDIT:
I have just realized that the OP is asking for a proof that $C$ is a matrix. The answer is yes, but we need a little more than what I wrote above. We need to show that $C_1 \otimes C_2$ is a linear map from $\Bbb{R}^n \times \Bbb{R}^n$ to $\Bbb{R}^n \times \Bbb{R}^n$.
Recall that the linear map $\varphi : \Bbb{R}^n \times \Bbb{R}^n \to \Bbb{R}^n \times \Bbb{R}^n$ such that $\varphi(x,y) = (Ax + By, Cx + Dy)$ for some real $n$-by-$n$ matrices $A,B,C,D$.
We can write the Kronecker product as

\varphi(x,y) =

Streamlined Visibility Settings:

Reduce the number of visibility settings in the Visibility Window to make it easier to work with the most relevant options. For example, there are two settings for the Hidden elements display:

All

Unique

and three settings for the Hidden line display:

All

Unique

Selected

Also, the Toggle Hidden Lines setting has been removed.

Use one of the five defined viewport scaling modes:

1:1

2:1

4:1

8:1

16:1

to better position and align visual elements in your drawings.

See the video demo: 3:20 min.

Split-screen Design:

Automatically split your drawing area into two separate workspaces and quickly switch between them. The design environment is also easier to navigate for users who prefer a single-page view.

See the video demo: 1:37 min.

Grouping and Sorting Dimension Styles:

Use the “Group Dimension Styles” command to group similar Dimension Styles into a single group. Quickly switch between dimension styles within a group using the “Sort Dimension Styles” command.

See the video demo: 3:23 min.

Locate Dimension Style

For dimension styles without names, use the “Find Style” dialog box to locate a matching dimension style quickly.

View and Measure Using the Entire Object:

Measure objects against the entire contour of the drawing area, rather than its visible contour.

Extend Hidden Elements and Lines:

Use the Extend Hidden Elements and Extend Hidden Lines commands to quickly extend any visible objects’ hidden elements and lines.

Use the F3 key to open the FIND command box.

Input the text that you’re looking for, and click the SEARCH button.

Search for the text within the document.

The search results are displayed in the FIND command box.

Select the desired results from the FIND command box, and click the SELECT button.

The selected items are highlighted, and you can use the keyboard to jump to the next or previous result.

Additionally, you can navigate to another result using the Search Forward and Search Backward buttons.

Zoom

Using the zoom level can now be more convenient.

## System Requirements:

Minimum:
OS: Windows XP, Vista, 7, 8/8.1
Processor: Intel Core2 Duo, Intel Core i3, Intel Core i5
Memory: 4 GB RAM
Graphics: DirectX 9 compliant
Hard Drive: 1 GB free disk space