Download Matrix Multiplication

Kuta Software - Infinite Algebra 2
Name___________________________________
Matrix Multiplication
Date________________ Period____
Simplify. Write "undefined" for expressions that are undefined.
1)
0
−2
2
6
⋅
−5
3
3)
−5
−1
−5
−2
⋅
2
3
5)
0
−3
−5
5
−4
1 ⋅
−2
1
7)
−5
6 ⋅ 3
0
−1
−6
0
−3
5
4
−4
2)
6
⋅ −5
−3
4)
−3
−2
4
5
6
⋅
1
1
−2
−5
5
6)
1
3
5
−4
5
⋅ −3
0
3
3
2
2
3
5
4
⋅
1
5
8)
-1-
2
4
−5
5
−1
−5
6
9)
3
−3
−6
−1
−1
6 ⋅
5
−6
6
4
10)
11)
−1
5
6
−5
1
2
−5
6
−1
6
−5
⋅ 5
1
6
0
13)
2
−5v ⋅
−5u
0
5
−6
0
−v
6
5
2
−2
−4
12)
5
4
14)
−4
−2 x
4
−4
⋅
−1
3
−6
3
2
⋅
0
−2
−6
−y
−4 x
⋅
−4
2y
−2
0
2
−3
0
−5
Critical thinking questions:
15) Write an example of a matrix multiplication
that is undefined.
16) In the expression A ⋅ B, if A is a 3 × 5 matrix
then what could be the dimensions of B?
-2-
Kuta Software - Infinite Algebra 2
Name___________________________________
Matrix Multiplication
Date________________ Period____
Simplify. Write "undefined" for expressions that are undefined.
1)
0
−2
2
6
⋅
−5
3
6
−27
3)
−5
−1
5)
0
−3
−5
6
⋅ −5
−3
−30
15
−3
5
4)
−3
−2
−10
13
5
6)
1
−20
−16
−24
−5
6 ⋅ 3
0
−15
18
0
4
−4
−1
3
5
−14
−19
8)
3
2
24
−12
2
3
-1-
−2
−5
−19
−1
−4
5
⋅ −3
0
3
2
4
−5
−3
22
5
4
⋅
1
5
Undefined
5
−6
0
4
5
6
⋅
1
1
−13
−11
5
−4
1 ⋅
−2
1
−10
10
18
7)
2)
0
12
−5
−2
⋅
2
3
−5
8
−6
0
5
−1
−5
6
9)
3
−3
−6
−1
−1
6 ⋅
5
−6
−8
33
−24
11)
13)
10)
1
2
−5
6
−7
10
17
0
−11
13
60
−61
−1
6
−5
⋅ 5
1
6
0
−5v ⋅
−10u
5
2
4
−4
⋅
−1
3
−8
−11
14
6
−60
−1
5
6
−5
2
6
4
−5u
0
−2
−4
12)
5
4
5
−6
0
−v
6
14)
−6
3
2
⋅
0
−2
−6
8
−14
10
20
4
8
−10
−8
−4
−2 x
−y
−4 x
⋅
−4
2y
16 x − 2 y 2
8x2 − 8 y
−32v
−2
0
2
−3
14
−17
10
26
0
−5
5y
20
Critical thinking questions:
15) Write an example of a matrix multiplication
that is undefined.
1
Many answers. Ex:
3
1
2
⋅ 3
4
5
16) In the expression A ⋅ B, if A is a 3 × 5 matrix
then what could be the dimensions of B?
5 × Anything
2
4
6
-2-