Quiz about M2/2 Math 4 Chapter 2-3 Quiz

Question 1

Which one describes your feeling before taking the quiz?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 2

Let $$A$$ be a $$4 imes4$$ matrix with $$\det\left(A ight)=10$$ . Evaluate $$\det\left(2A^T ight)+\det\left(-A^2 ight)$$

Accepted Answer

260

Answer

-60

Answer

60

Answer

D.

Question 3

Let $$A$$ be a $$2 imes2$$ matrix with $$\det\left(A ight)=1$$ . Evaluate $$\det\left(\left(2A ight)^{-2} ight)$$

Accepted Answer

1/4

Answer

1

Answer

C.

Answer

1/2

Question 4

Evaluate the determinant

Accepted Answer

-3

Answer

-5

Answer

B.

Answer

6

Question 5

Find $$C_{34}$$

Accepted Answer

-2

Answer

2

Answer

0

Answer

D.

Question 6

Evaluate the determinant

Accepted Answer

3

Answer

-2

Answer

6

Answer

D.

Question 7

Evaluate the determinant

Accepted Answer

0

Answer

5

Answer

B.

Answer

-5

Question 8

Find $$A^{-1}$$

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 9

$$x-y+z=2$$

$$3x-2y+z=0$$

$$2y-z=1$$

Solve the linear system with Cramer's rule

Accepted Answer

x=1/3

y=8/3

z=13/3

Answer

x=1/6

y=4/3

z=13/6

Answer

B.

Answer

x=2/3

y=4/3

z=16/3

Question 10

Find the volume of a parallelepiped whose adjacent sides are vectors

$$<1,1,1>,<4,2,4>,<3,1,0>$$

Accepted Answer

6

Answer

9

Answer

B.

Answer

12

Question 11

Find the area of a triangle that has the vertices

$$P_1\left(1,1\right),\ \ P_2\left(3,5\right),\ P_3\left(3,1\right)$$

Accepted Answer

4

Answer

8

Answer

12

Answer

D.

Question 12

Which of the following are bases for $$R^2$$

(there could be more than 1 answer)

Accepted Answer

S={< 3,0> , < 3,-1 >}

Accepted Answer

{< 1,-2 > , < 2,1 >}

Answer

{< 2,4 > , < -1,-2 >}

Answer

D.

Question 13

After the quiz, which one describes you

before taking midterm exam?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

M2/2 Math 4 Chapter 2-3 Quiz

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