Deneme Sınavı Soruları

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

I. Let m and n be positive integers. An m×n matrix is a rectangular array of mn numbers enclosed in brackets. 

II. For an  m×n matrix these mn numbers are called entries of this matrix. 

III. Matrices are denoted by lowercase letters and entries of matrices are denoted by capital letters always.

What can be said to be true about matrices?

The corner points of the constraint set of the goal function f are (1, 1), (1, 2), (2, 4), (4, 6). Which of the following is the maximum value of the function f = x - 2y?

Which of the following is the maximum value of f=9x+7y?

Which of the following goal function yields the value 112 at (11,4)?   

How should and  be chosen so that the lines

intersect at the point

I.  If there exists a square matrix A-1 such that A.A^-1 = I_n = A^-1.A, then the matrix A^-1 is called the inverse matrix of A.

II. If a matrix A has an inverse, A is called invertible if such an inverse does not exist, A is called singular.

III. The inverse matrix can be defined for a nonsquare matrix also all square matrices possess inverses.

What can be said to be true about inverse matrices?

Given the matrix game

which of the following is the equilibrium pair?

For the matrix game 

what is the upper value?

What is the guaranteed value for Player I in the matrix game

if Player I chooses 2nd row?

Find the determinant matrix of A?

Which of the following is the lower value of the game below?

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?

The management of a national change of market outlets is selling a 10 year franchise in Turkey. Past experience in similar localities suggest that t years from now the franchise will be generating profit at the rate of f (t) = 18000 TL per year. If the prevailing annual interest rate remains fixed at 10% compounded continuously, what is the present value of the franchise? 

Find the general solution  of 

1. The total surplus is the difference between the total value of a commodity on the consumer side and the total cost of the producers.
2. The total surplus is the sum of the consumer surplus and the producer surplus.
3. A decrease in the total surplus corresponds to a decrease in prosperity.
4. Increasing the trading volume, i.e. increasing the market equilibrium, signifies an increase in the public welfare.

Which of the statements above related to the total surplus are correct?

What is the general solution of the differential equation

be given. If (3)=11, find the value of m.