I think that the answer wiloukd be B. For #31 and for #32 A.
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.
![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 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.
If a run-time error appears when you run a macro that has worked in the past, some part of the macro code no longer makes sense to excel, ehere run-time denotes <span> the time during which a program is running</span>
This error occurs while the program is running.
Running<span> out of memorywill results in a </span>run-time error.
The format to use in drawing the Hierarchical input process output chart to show a high - level view of the functions of the proposed system is given in the image attached.
<h3>What is hierarchical input process output?</h3>
An HIPO model is known to be a form of hierarchical input process output model that helps in systems analysis design and also in documentation .
Note that it is often used for depicting the modules of a system based on the use of hierarchy and for saving each module and thus by following the method used in the image attached, one can draw a Hierarchical input process output ( HIPO ) chart to represent a high - level view of the functions of the proposed system.
Learn more about HIPO from
brainly.com/question/2665138
#SPJ1
Answer:
Credit Action .......I believe