Quiz about Matrix Determinants and Cramer's Rule

Question 1

If A is an invertible matrix of order 3 and |A|=5 then find |Adj A|

Accepted Answer

25

Answer

5

Answer

15

Answer

125

Question 2

Question 2.

Accepted Answer

2 and -1

Answer

2 and 1

Answer

-2 and -1

Answer

3 and 4

Question 3

If A is any invertible matrix then A is

Accepted Answer

both

Answer

square matrix

Answer

non singular matrix

Answer

none of these

Question 4

Evaluate the determinant of the matrix.

Accepted Answer

-21

Answer

0

Answer

9

Answer

12

Question 5

What is the determinant of this matrix?

Accepted Answer

5

Answer

-5

Answer

0

Answer

-12

Question 6

Solve the system of equations using Cramer's Rule.

Accepted Answer

$$\left(-3,-1\right)$$

Answer

$$\left(-6,6\right)$$

Answer

$$\left(5,-3\right)$$

Answer

$$\left(2,-6\right)$$

Question 7

Question 7.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 8

If the determinant of the matrix is -4, what is the value of x?

Accepted Answer

$$x=1$$

Accepted Answer

$$x=4$$

Answer

$$x=-4$$

Answer

$$x=-1$$

Answer

$$x=0$$

Question 9

Evaluate the determinant of the matrix.

Accepted Answer

$$-30$$

Answer

$$-10$$

Answer

$$10$$

Answer

$$-55$$

Question 10

What is the determinant of the matrix ?

Accepted Answer

2

Answer

6

Answer

0

Answer

-2

Question 11

Find det(A)

Accepted Answer

20

Answer

-20

Answer

60

Answer

-60

Question 12

What is the determinant of the matrix ?

Accepted Answer

2

Answer

6

Answer

0

Answer

-2

Question 13

If the determinant of the matrix is 14, what is the value of x?

Accepted Answer

$$x=5$$

Answer

$$x=2$$

Answer

$$x=22$$

Answer

$$x=-5$$

Question 14

which of the following is correct

Accepted Answer

determinants is a number associated to a square matrix

Answer

determinants is a square matrix

Answer

determinants is a number associated to a matrix

Answer

none of these

Question 15

If A is square matrix of order 3 such that |AdjA| =64 , find |A|

Accepted Answer

8

Answer

64

Answer

4

Answer

192

Question 16

If |A| = 0, then A is

Accepted Answer

singular matrix

Answer

zero matrix

Answer

non-singular matrix

Answer

Identity matrix

Question 17

What values would I have for my fraction when trying to use Cramer's Rule and the Determinants to find the y-coordinate? (*In other words, $$\frac{D_y}{D}$$ )

Accepted Answer

$$\frac{29}{-29}$$

Answer

$$\frac{-29}{-29}$$

Answer

$$\frac{-116}{-29}$$

Answer

$$\frac{116}{-29}$$

Question 18

Find the determinant of the above matrix.

Accepted Answer

-129

Answer

81

Answer

-81

Answer

129

Matrix Determinants and Cramer's Rule

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