NEW
Font size
S
M
L
XL
WorksheetsDeterminants and Inverses of Matrices
Total questions: 20
Worksheet time: 1hrs 27mins
Name
Class
Date
1.
What size is this matrix?
a)
2x2
b)
2x3
c)
3x2
d)
1x6
2.
Dimensions?
a)
a
b)
b
c)
c
d)
d
3.
What must be true in order to ADD two matrices?
a)
They must be square.
b)
The dimensions must be equal.
c)
The determinant can't equal 0.
d)
The column of the 1st must equal the row of the 2nd.
4.
Find A+B
a)
8 10
8 1
8 1
b)
12 25
7 1
7 1
c)
10 30
0 1
0 1
d)
can't add two together because the rows dont match columns
5.
What would be the dimensions (output) of AB?
a)
undefined
b)
2 X 2
c)
3 X 2
d)
3 X 3
6.
find: B*A
a)
47 30
9 5
9 5
b)
17 15
42 35
42 35
c)
10 25
7 1
7 1
d)
not possible because rows do not match columns
7.
What is the determinant of this matrix?
a)
-2
b)
2
c)
10
d)
24
8.
What is the determinant of this matrix?
a)
5
b)
-5
c)
0
d)
-12
9.
What is the formula for the determinant of a 2x2 matrix?
a)
ad-bc
b)
ab-cd
c)
ad+bc
d)
(a+d)(b+c)
10.
Calculate the determinant
a)
0
b)
-15
c)
-70
d)
10
11.
Find the determinant of the given matrix?
a)
5
b)
-5
c)
0
d)
-75
12.
Find the determinant of the matrix
a)
A
b)
B
c)
C
d)
D
13.
Find the determinant of the matrix
a)
A
b)
B
c)
C
d)
D
14.
What is the determinant of this matrix?
a)
0
b)
24
c)
-24
d)
-12
15.
Find the inverse of the matrix.
a)
b)
c)
d)
No Inverse Exists
16.
Find the inverse of the matrix.
a)
b)
c)
d)
No Inverse Exists
17.
Find the inverse.
a)
A
b)
B
c)
C
d)
D
18.
What is the inverse of this matrix?
a)
(1/25) (-4/25)
(3/25) (13/25)
(3/25) (13/25)
b)
(1/5) (-4/5)
(3/5) (13/5)
(3/5) (13/5)
c)
(6/25) (-2/25)
(2/25) (9/25)
(2/25) (9/25)
d)
(1/150) (-4/150)
(3/150) (13/150)
(3/150) (13/150)
19.
Which of the following are NOT inverse matrices of each other?
a)
b)
c)
d)
20.
What is the inverse of the following matrix?
⌈4 −3⌉
⌊12 3⌋
*det= 38
⌈4 −3⌉
⌊12 3⌋
*det= 38
a)
⌈³∕₃₈ ³∕₃₈⌉
⌊−⁶∕₁₉ ²∕₁₉⌋
⌊−⁶∕₁₉ ²∕₁₉⌋
b)
⌈⁴∕₃₈ −³∕₃₈⌉
⌊¹²∕₃₈ ³∕₃₈⌋
⌊¹²∕₃₈ ³∕₃₈⌋
c)
⌈²∕₁₉ −³∕₃₈⌉
⌊−⁶∕₁₉ ³∕₃₈⌋
⌊−⁶∕₁₉ ³∕₃₈⌋
d)
⌈³∕₃₈ ³∕₃₈⌉
⌊−¹²∕₃₈ ⁴∕₃₈⌋
⌊−¹²∕₃₈ ⁴∕₃₈⌋
Reset
