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.
Answer:
Explanation:
The following is the entire running Java code for the requested program with the requested changes. This code runs perfectly without errors and outputs the exact Sample Output that is in the question...
public class ScopeTester
{
public static void main(String[] args)
{
Scope scope = new Scope();
scope.printScope();
}
}
public class Scope
{
private int a;
private int b;
private int c;
public Scope(){
a = 5;
b = 10;
c = 15;
}
public void printScope(){
System.out.println("a = " + a);
System.out.println("b = " + b);
System.out.println("c = " + c);
System.out.println("d = " + getD());
System.out.println("e = " + getE());
}
public int getA() {
return a;
}
public int getB() {
return b;
}
public int getC() {
return c;
}
public int getD(){
int d = a + c;
return d;
}
public int getE() {
int e = b + c;
return e;
}
}
Answer:
The text will be shown without any formatting.
Explanation:
It depends solely on how much you will use it. For example, laser printers are more suitable for offices, schools, and environments, where the printer is used almost constantly. If it's used a lot, you're probably looking at a laser printer, since the cartridges have a slightly higher price, but a much higher yield. If you can't afford a laser printer, and you're only going to use it at home, you're probably looking at an inkjet. If you need to print off something for school, ask your teacher, or someone that works at your school. Some secondary/high schools might allow you to use their printers at a lower price
