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WorksheetsTest Matrices, Determinants, and Inverses
Total questions: 15
Worksheet time: 1hrs 8mins
Name
Class
Date
1.
What size is this matrix?
a)
2x2
b)
2x3
c)
3x2
d)
1x6
2.
What is the determinant of this matrix?
a)
-2
b)
2
c)
10
d)
24
3.
What is the determinant of this matrix?
a)
5
b)
-5
c)
0
d)
-12
4.
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)
5.
What is the determinant of this matrix?
a)
0
b)
24
c)
-24
d)
-12
6.
Find the inverse of the matrix.
a)
b)
c)
d)
No Inverse Exists
7.
Find the inverse of the matrix.
a)
b)
c)
d)
No Inverse Exists
8.
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)
9.
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⌋
10.
Evaluate the determinant of the matrix.
a)
-21
b)
0
c)
9
d)
12
11.
Which of the following matrices has an inverse of ⌈−⅗ ⅘⌉
⌊⅖ −⅕⌋ ?
*det = -5
⌊⅖ −⅕⌋ ?
*det = -5
a)
⌈1 2⌉
⌊3 4⌋
⌊3 4⌋
b)
⌈1 3⌉
⌊2 4⌋
⌊2 4⌋
c)
⌈1 4⌉
⌊2 3⌋
⌊2 3⌋
d)
⌈−3 4⌉
⌊2 −1⌋
⌊2 −1⌋
12.
Which of the following is the inverse of the matrix A=
⌈3 0⌉
⌊0 2⌋
*Inverse=
¹∕detA × ⌈d −b⌉ ⌊−c a⌋
⌈3 0⌉
⌊0 2⌋
*Inverse=
¹∕detA × ⌈d −b⌉ ⌊−c a⌋
a)
[1/2 0]
[0 1/3]
[0 1/3]
b)
[-3 0]
[0 -2]
[0 -2]
c)
⌈1/3 0⌉
⌊0 1/2⌋
⌊0 1/2⌋
d)
[2 0]
[0 3]
[0 3]
13.
Find the determinant
a)
2
b)
10
c)
-2
d)
10
14.
There is NO inverse if the determinant equals what value?
a)
0
b)
1
c)
-1
15.
what is a matrix?
a)
A matrix is a rectangular array of numbers.
b)
a matrix is squares with numbers in them
c)
a matrix is always a 2 x 2 thing
d)
all of the above
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