AnswersGA-Advanced Algebra Concepts and Connections CRAdding and Subtracting Matrices

Scalar and Matrix Multiplication Answers

28 verified answers1 views
1
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Choose one:

A
1 x 3
B
3 x 1
C
3 x 3
2
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b2 =

Answer:

33

3

Find the product of C = AB.

Answers:
Blank 1:-1
Blank 2:3
Blank 3:3
Blank 4:-3
4

c12 =

Answer:

3

5

c21 =

Answer:

3

6

c22 =

Answer:

-3

7

Find the product of D = BA.

Answers:
Blank 1:0
Blank 2:6
Blank 3:1
Blank 4:-4
8

d12 =

Answer:

6

9

d21 =

Answer:

1

10

d22 =

Answer:

-4

11

b1 =

Answer:

-21

12

Which of the following statements are true about scalar multiplication of matrices?

A
You can multiply a matrix of any size by a scalar.
B
For any matrix A, 1 × A = A.
C
For any scalar r, rI = I, where I is the identity matrix.
D
You can scale geometric figures using scalar multiplication.
E
Scalar multiplication is a shortcut for repeated addition of the same matrix.
F
Scalar multiplication is not possible for matrices that are not square.
13

Question text not available

Question illustration
Answer not available
14

Which products can be found by matrix multiplication?

Answer not available
15

Multiplies every element of a matrix by the same number:

Answers:
Selection 1:Scalar
Selection 2:Neither
Selection 3:Matrix
Selection 4:Matrix
16

Question text not available

Answer:

2

17

Multiply the matrix representing the vertices of the rectangle to transform the figure.What are the coordinates of the resulting figure? (0, 0), (4, 0), (4, 4), (0, 2)(0, 0), (–4, 0), (–4, –4), (0, 2)(0, 0), (4, 0), (4, –4), (0, –2)(0, 0), (–4, 0), (–4, -4), (0, –2)

Question illustration
A
(0, 0), (4, 0), (4, 4), (0, 2)
B
(0, 0), (–4, 0), (–4, –4), (0, 2)
C
(0, 0), (4, 0), (4, –4), (0, –2)
D
(0, 0), (–4, 0), (–4, -4), (0, –2)
18

The following transformation uses both scalar and matrix multiplication.What are the coordinates of the resulting figure? (0,0), (4, 0), (4, –2), (0, –4)(0, 0), (8, 0), (8, –4), (0, –8)(0, 0), (–8, 0), (–8, 4), (0, 8)(0, 0), (0, –8), (–4,–8), (–8,0)

Question illustration
A
(0,0), (4, 0), (4, –2), (0, –4)
B
(0, 0), (8, 0), (8, –4), (0, –8)
C
(0, 0), (–8, 0), (–8, 4), (0, 8)
D
(0, 0), (0, –8), (–4,–8), (–8,0)
19

Do these procedures yield the same result?1. First do the scalar multiplication, then do the matrix multiplication.2. First do the matrix multiplication, then do the scalar multiplication.

A
yes
B
no
20

Given that AI = A, if A is a 3 x 3 matrix, what is the identity matrix?

A
Option
B
Option
C
Option
D
Option

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