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Worksheets

Minor and Cofactor of Matrices

Total questions: 10

Worksheet time: 1hrs 22mins

Name
Class
Date
1.
Calculate the determinant
a)
0
b)
-15
c)
-70
d)
10
2.

Find  m13m_{13}   (minor) and  c_{13}  (cofactor).

a)

 m13=16,  c13=16m_{13}=16,\ \ c_{13}=16  

b)

 m13=16,  c13=16m_{13}=16,\ \ c_{13}=-16  

c)

 m13=8,  c13=8m_{13}=8,\ \ c_{13}=8  

d)

 m13=8,  c13=8m_{13}=8,\ \ c_{13}=-8  

3.

Calculate the

 m23 m_{23\ } (minor) and   c23c_{23}  (cofactor)

a)

 m23=12,  c23=12m_{23}=12,\ \ c_{23}=12  

b)

 m23=12,  c23=12m_{23}=12,\ \ c_{23}=-12  

c)

 m23=20,  c23=20m_{23}=-20,\ \ c_{23}=-20  

d)

 m23=20,  c23=20m_{23}=-20,\ \ c_{23}=20  

4.

What is the determinant of this matrix?

a)

-2

b)

2

c)

10

d)

24

5.

find

 m23  and c23m_{23}\ \ and\ c_{23}  

a)

 m23=74,  c23=74m_{23}=-74,\ \ c_{23}=-74  

b)

 m23=74,  c23=74m_{23}=-74,\ \ c_{23}=74  

c)

 m23=74,  c23=74m_{23}=74,\ \ c_{23}=-74  

d)

 m23=74,  c23=74m_{23}=74,\ \ c_{23}=74  

6.

Calculate the

 m33 m_{33\ } (minor) and   c33c_{33}  (cofactor)

a)

 m33=24,  c33=24m_{33}=-24,\ \ c_{33}=24  

b)

 m33=24,  c33=24m_{33}=-24,\ \ c_{33}=-24  

c)

 m33=8,  c33=8m_{33}=8,\ \ c_{33}=-8  

d)

 m33=8,  c33=8m_{33}=8,\ \ c_{33}=8  

7.

What is a23

a)

14

b)

4

c)

1

d)

3

8.

BA=

a)

Undefined

b)
c)
d)
9.
a)

3

b)

2/3

c)

3/2

d)

-(1/4)

10.

What do w, x, y and z equal in this matrix equation?

a)

w = 13, x = 4, y = 7, z = 23

b)

w = 13, x = -4, y = 11, z = 23

c)

w = 13, x = 4, y = 11, z = 23

d)

w = 13, x = 4, y = 11, z = 17