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.
<span>The rules and guidelines for appropriate computer mediated communication are called netiquette.
It is a blend of two words: net (from Internet) and etiquette, or the appropriate behavior.
</span>
Answer:
"Cyberspace
" is the right answer.
Explanation:
- Cyberspace seems to be an interactive computational environment, unconstrained by distance and perhaps other functional disabilities. William Gibson developed the word for representing a sophisticated augmented reality infrastructure in his story Neuromancer.
- The virtual space generated over the network through synchronized computing devices.
So that the above would be the correct answer.
Answer:
Excel MIN Function
Explanation:
Excel MIN Function is used to get the smallest value which means, it returns the smallest value in the array(a set of data).
syntax is =MIN (number1, [number2], ...)
Answer:
weights = []
total = 0
max = 0
for i in range(5):
weight = float(input("Enter weight " + str(i+1) + ": "))
weights.append(weight)
total += weights[i]
if weights[i] > max:
max = weights[i]
average = total / 5
print("Your entered: " + str(weights))
print("Total weight: " + str(total))
print("Average weight: " + str(average))
print("Max weight: " + str(max))
Explanation:
Initialize the variables
Create a for loop that iterates 5 times
Get the values from the user
Put them inside the array
Calculate the total by adding each value to the total
Calculate the max value by comparing each value
When the loop is done, find the average - divide the total by 5
Print the results