Deneme Sınavı Soruları

What is the determinant of the coefficient matrix of the linear system below?

If

then what is

I. The subject of linear programming was developed in the 1940s in response to the war effort. Since that time, the subject has grown enormously and has found many commercial as well as non-commercial applications.

II.  The source of linear programming is practical problems, where we are looking for the best way to allocate limited resources. 

III. Linear programming is one of the branches of optimization and studies the minimization or maximization of a linear function without linear constraints.

What can be said to be true about Linear programming?

Plane diagram of a connected planar graph has 9 vertices and 7 regions. What is the number of edges of the graph?

For the matrices, A = [2 3 , 5 6 ]_2x2 and B = [1 3, 3 7]_2x2what is the sum of these two matrices?

Given the constraint set

which of the following points belongs to the constraint set?

If  evaluate the matrix A+B=?

What is the solution of the system of equations 

Calculate the determinant of

In a meeting with 10 attendence some handshakes took place. The vertices in the following graph represent the people in the room, while connecting edges represent the handshakes that take place. How many handshake occur in this meeting?

What is the solution of the following system of linear equations

Which of the following points belongs to the set specified by the inequality 2x + 7y + 1 ≥ 25?

Given the matrix game 

which of the following is equilibrium pair?

What is the general following solution   of 

What is the solution of the initial value problem

with the initial value y(0)=1?

A country’s distribution of income is defined by the curve

What is the Gini index of this country?

1. One of the most commonly used method to measure the distribution of income is the Lorenz curve.
2. Developed in 1906 by Max Lorenz, the Lorenz curve is a graphical representation of the distribution of wealth, or of income.
3. To construct the Lorenz curve, first, people in society or the households are sorted from the lowest income group to the highest.
4. Then, the total portion received from the total income by a number of a group at an arbitrary income level or lower is calculated.
5. If this process is repeated for each income level, the graph of the curve can be constructed, the function y = L(x) which is referred to this curve is called the Lorenz Function.

Which of the statements above related to the Lorentz curve are correct?