Download All matrix operations combined

Kuta Software - Infinite Algebra 2
Name___________________________________
All Matrix Operations
Date________________ Period____
Simplify. Write "undefined" for expressions that are undefined.
1)
2
−6
−1
4
⋅
1
−3
4
−5
3)
−1
5
5
−3
⋅
−5
−3
6
0
2)
4)
5)
−2
−4
−3
6
+
−6
0
2
−3
7)
3
0
1
5
3
−1
+
−3
6
2
−6
−6
1
−1
4
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(
5
−6
1
3
(
(
−3
1
−6
−2
⋅
4
−1
2
2
8) −5 −1 + −4
−6
4
-1-
3
1
+
2
2
2
0
)
−3
1
0
−6
⋅
+
5
3
5
−2
6) −4 ⋅
3
0
⋅
1
1
6
⋅
4
6
−4
)
)
Worksheet by Kuta Software LLC
9)
−1
−6
11) −2
−3
0
−5
−4
12)
13)
−1
−5
+
3
−4
(
−4 y
2
−5
5
1
⋅
−5
−1
3
⋅
2
1
−5
4
+
−6
6
(
5
−6
2y
2y
+
3
2
−4
3
6
2x
6
6
−1
3
)
−2
−6
−3
−6
0
14)
6y
−2 y
−3
2
2
3
+
−6
5
⋅
10)
−5
5
5
−5
2
3
)
y2
−y
⋅
−2 y
−6
xy
6y
2 −
x
−3 y
−6
y
Critical thinking questions:
15) Give an example of a matrix expression in which 16) A, B, and C are matrices: A(B + C) = AB + CA
you would first perform a matrix subtraction and
A) Always true
B) Sometimes true
then a matrix multiplication. Use any numbers
C) False
and dimensions you would like but be sure that
your expression isn't undefined.
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-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Name___________________________________
All Matrix Operations
Date________________ Period____
Simplify. Write "undefined" for expressions that are undefined.
1)
2
−6
−1
4
⋅
1
−3
11
−27
3)
−1
5
4
−5
2)
13
−29
6
⋅
4
−12
−52
5
−3
⋅
−5
−3
6
0
4)
−12
0
2
−6
(
5
−6
3
1
+
2
2
2
0
)
22
−22
−3
1
0
−6
⋅
+
5
3
5
−2
1
3
−6
30
Undefined
5)
−2
−4
−3
6
+
−6
0
2
−3
6) −4 ⋅
(
−3
1
−48
24
−6
−2
⋅
4
−1
6
−4
)
−24
40
−6
3
−6
−1
7)
3
0
1
5
6
1
3
−1
+
−3
6
10
−30
3
0
⋅
1
1
−6
1
−1
4
(
2
2
8) −5 −1 + −4
−6
4
16
−5
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)
−20
25
10
-1-
Worksheet by Kuta Software LLC
9)
−1
−6
−1
−5
+
3
−4
−17
−16
11) −2
12)
13)
(
−3
0
−1
3
⋅
2
1
6
6
10)
−37
−9
−2
−6
−3
−6
0
16
−6
−5
5
−5
4
+
−6
6
10
6
9
−7
7
14
−5
−4
1
⋅
−5
(
5
−6
−41
−27
53
−4
−4 y
2
2y
2y
+
3
2
−4
3
−1
3
−3
2
2
3
+
−6
5
−5
5
2
3
)
−23
−1
6
2x
)
⋅
5
−5
14)
6y
−2 y
y2
−y
⋅
−2 y
−6
−12 y 2 − 6 y
2 y 2 + 15 y
−20 y − 30
5 − 10 x
xy
6y
2 −
x
−3 y
−6
y
6 y2x + y2 x2 + 6
−2 y 2 x − 2 yx 2 − y
Critical thinking questions:
15) Give an example of a matrix expression in which 16) A, B, and C are matrices: A(B + C) = AB + CA
you would first perform a matrix subtraction and
A) Always true
*B) Sometimes true
then a matrix multiplication. Use any numbers
C) False
and dimensions you would like but be sure that
your expression isn't undefined.
Many answers. Ex:
1
3
2
⋅
4
(
1
3
2
a
−
4
c
b
d
)
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
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-2-
Worksheet by Kuta Software LLC