MATHEMATICS II - Deneme Sınavı - 4

(0,8) , F = 5.0 +2.8 = 16

(4,5) , F = 5.4 +2.5 = 30

(7,0) , F = 5.7 +2.0 = 35, max value =35

(1,4) , F = 4.1 – 1.4 = 0, 

(2,6) , F = 4.2 – 1.6 = 2, 

(4,9) , F = 4.4 – 1.9 = 7,  max value = 7

(1,2) , F = 1.1 – 2.2 = -3, 

(2,4) , F = 1.2 – 2.4 = -6, 

(4,6) , F = 1.4 – 2.6 = -8,  max value = -1

F = 10x + 5y = 10.10 + 5.4 = 120

F = 10x - 10y = 10.15 - 10.5 = 100

F = 12x + 2y = 12.2 - 2.3 = 30

F = 3x + 3y = 3.20 + 3.5 = 75

If we solve this equation we get

Therefore the

correct answer is A.

which gives

If we substitute this value into second equation we obtain

Therefore the correct answer is C.

The determinant of this matrix is

Hence the correct answer is E.

matrix. The correct answer is D.

matrix and the matrix B is a

matrix which means multiplying them will give a

matrix. Now observe that

Therefore the correct answer is E.

matrix

can be found with the formula

For

the inverse of the matrix becomes

Hence the correct answer is B.

If two matrices are equal then their components must be equal. From this we see that

and

So the correct answer is A.

From the first equation we see that

and from the second equation we get

So the correct answer is C.

The second equation is

then

must be equal to -10 and

must be equal to 10 for the equations to be the same. Thus, if

equations of the linear system represent the same line and thus system of linear equations has infinitely many solutions. The correct answer is E.

for

and

The solution of this system of linear equations is

where

Now calculating determinants with the Sarrus’ rule we get

Hence our solution becomes

The correct answer is D.