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Worksheets

2x2 Determinants

Total questions: 10

Worksheet time: 42mins

Name
Class
Date
1.
Evaluate the determinant of the matrix.
a)
-21
b)
0
c)
9
d)
12
2.
Determine if the matrix has an inverse, if so find it.
a)
No
b)
 0   1
-1   2
c)
-1   3
  1   -2
d)
  2   -1
-1   1
3.
Determine if the matrix has an inverse, if so find it.
a)
No
b)
 0   1
-1   2
c)
-1   3
  1   -2
d)
  2   -1
-1   1
4.

Find the determinant of the above matrix.

a)

-23

b)

23

c)

-7

d)

7

5.

Evaluate the determinant of the given matrix.

a)

24-24

b)

2020

c)

Undefined

d)

3030

6.

Evaluate the determinant of the given matrix.

a)

33

b)

3-3

c)

44

d)

4-4

7.

Evaluate each determinant

a)

1212

b)

3333

c)

89-89

d)

54-54

8.

Find the determinant of the matrix M.

a)

M=20\left|M\right|=20

b)

M=15\left|M\right|=15

c)

M=17\left|M\right|=17

d)

M=33\left|M\right|=-33

9.
Find the determinant of the matrix
a)
A
b)
B
c)
C
d)
D
10.
Solve for the determinant of the following matrix:  
⌈12  −3⌉
⌊−6  15⌋
*detA= ad-bc
a)
198
b)
162
c)
-333
d)
-9