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.
Packages installed in rstudio are called from cran. cran is an online archive with r packages and other r-related resources, is the true statement.
<h3>What are
CRAN packages in R?</h3>
It comprises archives for both the most recent and prior versions of the R distribution, donated R packages, and documentation. It provides both source packages and pre-compiled binaries for Windows and macOS. there are more than 16,000 bundles available.
The version of R that is made available through CRAN is compatible with the integrated development environment for R, referred to as RStudio. All of the major systems support RStudio, which includes a variety of tools that boost productivity.
Thus, it is the true statement.
For more information about CRAN packages in R, click here:
brainly.com/question/10658169
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The needed syntax would be:
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Hope I could be of assistance! ;)
Answer:
The Internet began as a US Department of Defense network named Advanced Research Project Agency Network (ARPANET) funded by the Advanced Research Project Agency (ARPA, later DARPA). In the 1970s, universities and other educational institutions began sharing this technology. The network grew as more and more users began sharing information.However, the information being shared on this network was very limited because of its government ties. The ARPANET was decommissioned in 1990. This move was followed by the commercialization of the Internet, which allowed it to carry business and personal traffic.
Explanation:
