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WorksheetsMatrix
Total questions: 20
Worksheet time: 50mins
Name
Class
Date
1.
What is the size of the matrix below? Always do Rows x Columns.
a)
3 x 4
b)
4 x 3
2.
What is the size of the matrix below?
a)
0 x 1
b)
1 x 0
c)
3 x 3
d)
3 x 0
3.
What are the dimensions of this matrix?
a)
4x3
b)
3x4
c)
3
d)
4
4.
Find A-B
a)
-3 1
7 -1
7 -1
b)
1 0
1 -4
1 -4
c)
-4 0
6 -1
6 -1
d)
not possible because rows do not match columns
5.
Subtract
a)
3 -8
0 -1
0 -1
b)
3 -4
8 -13
8 -13
c)
-3 8
0 1
0 1
d)
3 -8
-8 1
-8 1
6.
Add
a)
11 8
-4 2
-4 2
b)
3 2
-6 -6
-6 -6
c)
-3 2
-4 -6
-4 -6
d)
10 8
-6 2
-6 2
7.
Multiply
a)
20 15 -10
30 -5 0
30 -5 0
b)
-20 15 -10
30 -5 0
30 -5 0
c)
1 8 3
11 4 5
11 4 5
d)
20 -15 10
-30 5 0
-30 5 0
8.
Which element is located in A23?
a)
-3
b)
5
c)
-9
d)
2
9.
What is the location of 5?
a)
A12
b)
A21
c)
A25
d)
A13
10.
Bonus Point! 3A=?
a)
b)
c)
d)
11.
Add
a)
11 8
-4 2
-4 2
b)
3 2
-6 -6
-6 -6
c)
-3 2
-4 -6
-4 -6
d)
10 8
-6 2
-6 2
12.
Find the determinant of matrix B.
(a)
13.
Find the determinant of the matrix and determine of the matrix is invertible.
a)
det = -14, inverse exists
b)
det = 0, no inverse exists
c)
det = 166, inverse exists
d)
det = 14, inverse exists
14.
Find the value of x that makes the equation true.
a)
x = 7
b)
x = -11/3
c)
x = 19
d)
x = -7
15.
Which matrix is an identity matrix
a)
A
b)
B
c)
C
d)
D
16.
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.
17.
Multiply
a)
20 15 -10
30 -5 0
30 -5 0
b)
-20 15 -10
30 -5 0
30 -5 0
c)
1 8 3
11 4 5
11 4 5
d)
20 -15 10
-30 5 0
-30 5 0
18.
Determine if the matrix has an inverse, if so find it.
a)
No
b)
0 1
-1 2
-1 2
c)
-1 3
1 -2
1 -2
d)
2 -1
-1 1
-1 1
19.
Determine if the matrix has an inverse, if so find it.
a)
No
b)
0 1
-1 2
-1 2
c)
-1 3
1 -2
1 -2
d)
2 -1
-1 1
-1 1
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⌋
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