The main factors that led to the fall of the Aksum in the seventh century were climate change and the obstruction of international trade routes around the Red Sea brought on by the growing supremacy of the Muslims in Ethiopia.<span> Other contributing factors included a reduced crop yield due to excess cultivation of land, Persian interference and the rise of Christianity in the region.</span>
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 type of encoding that involves relating new information to existing knowledge that you already have stored in long-term memory is: Semantic encoding.
Encoding can be defined as a communication process in which the sender of a message transforms an information into an encrypted message, in the form of notable symbols that represent ideas or concepts.
Generally, a message that has been encoded by a sender requires a decoding action by the recipient, in order for the communication process to be complete.
Semantic encoding is a type of encoding which typically involves the relation of new information with respect to an existing knowledge that has been stored in long-term memory.
In conclusion, semantic encoding deals with the encoding of meaning from new information rather than perceptual characteristics such as the meaning of words in English language.
Read more: brainly.com/question/24113575
