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Finding Determinants of Matrices

Total questions: 17

Worksheet time: 2hrs 38mins

Name
Class
Date
1.
Find the determinant of the matrix
a)
A
b)
B
c)
C
d)
D
2.
Solve for the determinant of the following matrix:  
⌈12  −3⌉
⌊−6  15⌋
*detA= ad-bc
a)
198
b)
162
c)
-333
d)
-9
3.
Calculate the determinant
a)
0
b)
none
c)
-32
d)
-8
4.
= ( a * d) - ( b * c )
a)
optimization
b)
objective function
c)
determinant
d)
gauss jordan elimination
5.
Identify the dimensions.
a)
2 x 4
b)
4 x 2
c)
-2 x 6
d)
1
6.
Identify the dimensions.
a)
0 x 4
b)
4 x 1
c)
4 x 0
d)
1 x 4
7.
Identify the dimensions.
a)
1 x 3
b)
1 x 2
c)
2 x 1
d)
3 x 1
8.
Evaluate the determinant of the matrix.
a)
-21
b)
0
c)
9
d)
12
9.
Evaluate the determinant of the matrix.
a)
-21
b)
0
c)
9
d)
12
10.

What is the first step in finding the determinant of a 3X3 matrix?

a)

Rewrite the first two columns to the left of the matrix

b)

Rewrite the first two columns to the right of the matrix

c)

Rewrite the first two rows above the matrix

d)

Rewrite the first two rows below the matrix

11.
Find the determinant's value
a)
-18
b)
-23
c)
-2
d)
2
12.

Evaluate the determinant of the matrix.

a)

68

b)

-49

c)

-83

d)

-75

13.

Evaluate the determinant of the matrix.

a)

40

b)

30

c)

20

d)

10

14.

Evaluate the determinant of the matrix.

a)

695

b)

284

c)

392

d)

-179

15.
In Matrix R (pictured) what element is in the second row, third column?
a)
8
b)
9.01
c)
6
d)
1
16.
What is the value of element M3,4?
(Think about what is in the 3rd row and 4th column)
a)
34
b)
42
c)
37
d)
π
17.
Find the determinant of the matrix
a)
A
b)
B
c)
C
d)
D