AnswersGA-Advanced Algebra Concepts and Connections CRScalar and Matrix Multiplication

Matrices and Row Operations Answers

32 verified answers2 views
1
Free Preview

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
Free Preview

Row echelon form✔ Reduced row echelon formNeither

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

Row echelon formReduced row echelon form✔ Neither

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

Question text not available

Answer:

2

5

Perform the indicated row operation:

Answers:
Blank 1:0
Blank 2:3
Blank 3:-2
Blank 4:5
6

Question text not available

Answer:

3

7

Question text not available

Answer:

-2

8

Question text not available

Answer:

5

9

Question text not available

Answer:

-44

10

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
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

Question text not available

A
Option
Option A
B
Option
Option B
C
Option
Option C
13

Fill in the numbers resulting from the indicated operation:

Answers:
Blank 1:0
Blank 2:11
Blank 3:22
Blank 4:-11
Blank 5:0
Blank 6:3
Blank 7:-2
Blank 8:5
14

Perform the indicated row operation:

Answers:
Blank 1:0
Blank 2:10
Blank 3:8
Blank 4:2
15

Question text not available

Answers:
Blank 1:0
Blank 2:44
Blank 3:-44
Blank 4:-1
Blank 5:1
Blank 6:2
16

Question text not available

A
Option
Option A
B
Option
Option B
C
Option
Option C
17

Transform this matrix to reduced row echelon form:

Answers:
Blank 1:2
Blank 2:1
Blank 3:-1
18

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
19

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

Answer:

The linear system has a unique solution where x = 0, y = 0, and z = 0. Because there is exactly one solution, the system is independent and consistent, and the planes intersect at a single point.

20

Which of the following did you include in your explanation? Check all of the boxes that apply.

A
There is a unique solution.
B
The solution is x = 0, y = 0, and z = 0.
C
The system intersects at one point.
D
The system is independent and consistent.

Did you find these answers helpful?

More from this Course

Assignment
38 verified answers

Assignment

Assignment
26 verified answers

Assignment

Assignment
26 verified answers

Scalar and Matrix Multiplication