AnswersAA - F26 Advanced AlgebraCramer's Rule

Matrices and Row Operations Answers

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1
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Which of the following are valid row operations for augmented matrices?

A
Switch positions of two rows.
B
Add elements of one row to another row.
C
Multiply elements of one row by another row.
D
Multiply elements of one row by a scalar.
E
Raise elements of a row to a power.
2
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Row echelon formReduced row echelon formNeither

A
Row echelon form
B
Reduced row echelon form
C
Neither
3

Row echelon formReduced row echelon formNeither

A
Row echelon form
B
Reduced row echelon form
C
Neither
4

Question text not available

Answer:

1

5

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Answer:

-1

6

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Answer:

3

7

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Answer:

4

8

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Answer:

5

9

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Answer:

5

10

Question text not available

Answer:

-44

11

✔ Row echelon formReduced row echelon formNeither

Answers:
4 11 2 −6 0 −5 8 7 0 0 −2 3 1 0 0 −6 0 1 0 3 0 0 1 3 1 0 3 −6 0 6 0 8 7 0 1 13:Row echelon form
4 11 2 −6 0 −5 8 7 0 0 −2 3 1 0 0 −6 0 1 0 3 0 0 1 3 1 0 3 −6 0 6 0 8 7 0 1 13:Reduced row echelon form
4 11 2 −6 0 −5 8 7 0 0 −2 3 1 0 0 −6 0 1 0 3 0 0 1 3 1 0 3 −6 0 6 0 8 7 0 1 13:Neither
12

[image 1] [image 2] [image 3]

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
13

Perform the indicated row operation:

Answers:
Blank 1:0
Blank 2:10
Blank 3:8
Blank 4:2
14

Question text not available

Answers:
Blank 1:-30
Blank 2:20
Blank 3:-50
Blank 4:30
Blank 5:24
Blank 6:6
15

Question text not available

Answer:

2

16

Inconsistent✔ DependentUnique solution

Answers:
1 0 0 1 0 1 0 2 0 0 0 0 1 0 0 1 0 1 0 2 0 0 1 0 1 0 0 1 0 1 0 2 0 0 0 1:Dependent
1 0 0 1 0 1 0 2 0 0 0 0 1 0 0 1 0 1 0 2 0 0 1 0 1 0 0 1 0 1 0 2 0 0 0 1:Unique solution
1 0 0 1 0 1 0 2 0 0 0 0 1 0 0 1 0 1 0 2 0 0 1 0 1 0 0 1 0 1 0 2 0 0 0 1:Inconsistent
17

What can you say about the solution to the associated linear system?

Answer:

The system has a unique solution: x = 0, y = 0, and z = 0. It is independent and consistent, so the equations intersect at one point.

18

Question text not available

Answers:
1 0 0 1 0 1 0 2 0 0 0 0 1 0 0 1 0 1 0 2 0 0 1 0 1 0 0 1 0 1 0 2 0 0 0 1:Dependent
1 0 0 1 0 1 0 2 0 0 0 0 1 0 0 1 0 1 0 2 0 0 1 0 1 0 0 1 0 1 0 2 0 0 0 1:Unique solution
1 0 0 1 0 1 0 2 0 0 0 0 1 0 0 1 0 1 0 2 0 0 1 0 1 0 0 1 0 1 0 2 0 0 0 1:Inconsistent
19

Fill in the numbers resulting from the indicated operation:

Answer:

-1

20

Question text not available

Answer:

10

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Matrices and Row Operations Answers — AA - F26…