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.
Answer:
What are the Scenarios
I will update this when you give us them
Explanation:
Answer:
1. Answering questions
2. Logging in everyday
Explanation:
By answering questions, you will earn points. By logging in everyday, I think they give you points as well. Good luck, and hope this helped! :-)
Answer:
false negative
Explanation:
A false negative is a dangerous state in which the IDS (Intrusion Detection System) assumes the activity as acceptable in which the activity is actually an attack occurred on the system.
That means, the Intrusion Detection System has failed to catch the attack. This is the most dangerous state, as the systems were compromised and the network or cyber security people were unable to find the attack.
More generally, there are two types of Intrusion Detection Systems ( IDS ). Network based IDSs ( NIDS ) and Host based IDSs ( HIDS ).
Answer: the third one
Explanation:
just trust me, the other ones dont mke sense to what I know about the subject, which is a lot