Answer:
The Rouché-Capelli Theorem. This theorem establishes a connection between how a linear system behaves and the ranks of its coefficient matrix (A) and its counterpart the augmented matrix.
![rank(A)=rank\left ( \left [ A|B \right ] \right )\:and\:n=rank(A)](https://tex.z-dn.net/?f=rank%28A%29%3Drank%5Cleft%20%28%20%5Cleft%20%5B%20A%7CB%20%5Cright%20%5D%20%5Cright%20%29%5C%3Aand%5C%3An%3Drank%28A%29)
Then satisfying this theorem the system is consistent and has one single solution.
Explanation:
1) To answer that, you should have to know The Rouché-Capelli Theorem. This theorem establishes a connection between how a linear system behaves and the ranks of its coefficient matrix (A) and its counterpart the augmented matrix.
Then the system is consistent and has a unique solution.
<em>E.g.</em>
2) Writing it as Linear system
3) The Rank (A) is 3 found through Gauss elimination
4) The rank of (A|B) is also equal to 3, found through Gauss elimination:
So this linear system is consistent and has a unique solution.
A semiconductor material has an electrical conductivity value falling between that of a conductor, such as metallic copper, and an insulator, such as glass. Its resistivity falls as its temperature rises; metals behave in the opposite way. I hope this helps and have a great day! (Also brainliest would be appreciated but you don’t have to) :)
Answer:
Program
Explanation:
Program is like a set of instructions that helps hardware process data into information.
Every hardware needs a program to process data into information.
For example take the example of a data processing software like MS Excel.
You open a spreadsheet and enter some data into your sheet. and then ask the program to do some calculations with this data and give you output results. The spreadsheet software does this processing in the background for you and provides you the results.
Without program a hardware doesn't know what to do with the data. Therefore, a program is like a instruction set that guides the hardware what to do with the data.
Note: The terms software and program are usually used together but there is a difference between software and program
A software is a generalized term and program is more like a specific term.
software can be made up of several different programs which performs many different tasks. On the other hand, a program only carry out a specific task or set of instructions.
Answer:
Root
Explanation:
Linux is an open source operating system which receives command from the user and communicates with the hardware, and in Linux the root directory is the top level directory that contains all other directory, it is not recommended to create files and folders in the root directory because the commands the user enters may change files that the operation system may depend on for usage.
Answer: Transaction processing system
Explanation:
A transaction processing system basically records all the data in the system. It is the set of data that basically monitor all the transaction process in the system. It basically perform various transaction oriented applications in the system.
It also allow time delay in the system when the item is supposed to being sold to the actually selling of the item. There are basically various types of transaction processing system arr payroll, account payable and the inventory control.
