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Matrix Test Review

Total questions: 19

Worksheet time: 2hrs 52mins

Name
Class
Date
1.
Dimensions?
a)
a
b)
b
c)
c
d)
d
2.
Add
a)
11    8
-4     2
b)
3     2
-6    -6
c)
-3    2
-4    -6
d)
10    8
-6    2
3.
Find A+B
a)
8     10
8      1 
b)
12     25
7     1
c)
10     30
0     1
d)
can't add two together because the rows dont match columns
4.
find: B*A
a)
47     30
9     5
b)
17     15
42     35
c)
10     25
7     1
d)
not possible because rows do not match columns
5.
Multiply
a)
25
25
5
b)
-25
25
-5
c)
-10
-10
-6
d)
10
10
6
6.
You can multiply a 2X3 matrix by which matrix?
a)
2X2
b)
2X12
c)
3X12
d)
2X3
7.
Multiply
a)
1   2
6   -8
b)
-3   -5
-5   -11
c)
-2     8
-6   -12
d)
2  -3
5   -2
8.
What do w, x, y and z equal in this matrix subtraction?
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
9.
How many rows are in a 7 x 3 matrix?
a)
7
b)
3
c)
21
d)
10
10.
What do a, b, c and d equal in this matrix addition?
a)
a = -1, b = 10, c = 7, d = -11
b)
a = -1, b = 10, c = -11, d = 7
c)
a = 10, b = -1, c = 7 , d = -11 
d)
a = 10, b = -1, c = -11, d = 7
11.
Solve the system.  Write the matrix equation on your own paper.
-5x + 5y = -10
-7x + 4y = 13
a)
(-7, -5)
b)
(-7, -9)
c)
(7, -9)
d)
(-7, 5)
12.
Find the product.
a)
undefined
b)
-3   16
17   12
8   -10
c)
3   12 
-15  -8
-1   -3
13.
Which matrix does NOT have an inverse?
a)
A
b)
B
c)
C
d)
D
14.
Find the inverse.
a)
5   -2
-3    1
b)
-5   2
3   -1
c)
-5   3
2   -1
d)
1   -3
-2    5
15.
Find the determinant's value
a)
-18
b)
-23
c)
-2
d)
2
16.
Calculate the determinant
a)
0
b)
none
c)
-32
d)
-8
17.
Which of the following is the inverse of the matrix A= 
⌈3  0⌉
⌊0  2⌋
*Inverse=
                 ¹∕detA × ⌈d  −b⌉                                      ⌊−c  a⌋
a)
[1/2    0]
[0    1/3]
b)
[-3  0]
[0  -2]
c)
⌈1/3   0⌉
⌊0   1/2⌋
d)
[2  0]
[0  3]
18.
What is the inverse of the following matrix?
⌈4  −3⌉
⌊12  3⌋
*det= 38
a)
⌈³∕₃₈  ³∕₃₈⌉
⌊−⁶∕₁₉  ²∕₁₉⌋
b)
⌈⁴∕₃₈  −³∕₃₈⌉
⌊¹²∕₃₈  ³∕₃₈⌋
c)
⌈²∕₁₉  −³∕₃₈⌉
⌊−⁶∕₁₉  ³∕₃₈⌋
d)
⌈³∕₃₈  ³∕₃₈⌉
⌊−¹²∕₃₈  ⁴∕₃₈⌋
19.
Find the inverse.
a)
A
b)
B
c)
C
d)
D