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Matrices and Row Operations Answers

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Kyle wrote a matrix to represent a system of equations. The matrix is shown below.Which of the following describes the solution to the system of equations?

Question illustration
A
consistent
B
dependent
C
inconsistent
D
independent
2
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The augmented matrix below represents a system of equations.Which matrix results from the operation ?

Question illustration
A
mc002-3.jpg
Option A
B
mc002-4.jpg
Option B
C
mc002-5.jpg
Option C
D
mc002-6.jpg
Option D
3

A shipping company charges a flat rate of $7 for packages weighing five pounds or less, $15 for packages weighing more than five pounds but less than ten pounds, and $22 for packages weighing more than ten pounds. During one hour, the company had 13 packages that totaled $168. The number of packages weighing five pounds or less was three more than those weighing more than ten pounds. The system of equations below represents the situation.Which matrix can be used to show the number of packages in the different weight classes during that hour?

Question illustration
A
mc016-2.jpg
Option A
B
mc016-3.jpg
Option B
C
mc016-4.jpg
Option C
D
mc016-5.jpg
Option D
4

The matrix below represents a system of equations.Which matrix represents ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

A student wrote the matrix below to represent the solution to a system of equations. Which of the following describes the solution?

Question illustration
A
no solution
B
an infinite number of solutions
C
(–2, 0, –1)
D
(5, –2, –1)
6

Which operation can be used with the augmented matrix below?

Question illustration
A
Switch column 1 and column 2.
B
Multiply row 3 by 0.
C
Add row 2 and column 3.
D
Multiply row 2 by –1 and add it to row 3.
7

A student performed row operations on a matrix as shown below.Which operations did the student perform?

Question illustration
A
mc005-2.jpg
Option A
B
mc005-3.jpg
Option B
C
mc005-4.jpg
Option C
D
mc005-5.jpg
Option D
8

When Lydia performed an operation on the matrix below, she forgot to include one element.What is the value of the unknown element, b?

Question illustration
A
–7
B
–5
C
–3
D
–2
9

Juanita wants to perform row operations on the augmented matrix for the system below.Which matrix should Juanita use to perform the operations?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Which matrix represents the solution to the system of equations below?

Question illustration
A
mc017-2.jpg
Option A
B
mc017-3.jpg
Option B
C
mc017-4.jpg
Option C
D
mc017-5.jpg
Option D
11

Kamal wrote the augmented matrix below to represent a system of equations.Which matrix results from the operation ?

Question illustration
A
mc004-3.jpg
Option A
B
mc004-4.jpg
Option B
C
mc004-5.jpg
Option C
D
mc004-6.jpg
Option D
12

A student wrote the matrix below to represent the solution to a system of equations. Which of the following describes the solution?

Question illustration
A
no solution
B
an infinite number of solutions
C
(–2, 0, –1)
D
(5, –2, –1)
13

A student performed row operations on a matrix as shown below.Which operations did the student perform?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

Which of the following is the result of the operation below?

Question illustration
A
mc012-2.jpg
Option A
B
mc012-3.jpg
Option B
C
mc012-4.jpg
Option C
D
mc012-5.jpg
Option D
15

When Lydia performed an operation on the matrix below, she forgot to include one element.What is the value of the unknown element, b?

Question illustration
A
–7
B
–5
C
–3
D
–2
16

The drama club at a local high school sells adult, teen, and child tickets for a school play. The matrix below represents the tickets sold and the total cost of the tickets for three performances.Which of the following is the result of performing the row operation on this matrix?

Question illustration
A
mc006-3.jpg
Option A
B
mc006-4.jpg
Option B
C
mc006-5.jpg
Option C
D
mc006-6.jpg
Option D
17

A store sells yogurt in small, medium, and large sizes. A small yogurt costs $2, a medium costs $3, and a large costs $5. In one hour, the shop sold 27 yogurts for $98. There were five more large yogurts than small yogurts. The matrix below represents the system of equations in this situation.How many of each size yogurt did the store sell during that hour?

Question illustration
A
7 small yogurts, 8 medium yogurts, 12 large yogurts
B
12 small yogurts, 8 medium yogurts, 7 large yogurts
C
27 small yogurts, 98 medium yogurts, 5 large yogurts
D
98 small yogurts, 27 medium yogurts, 5 large yogurts
18

Which of the following is the result of the operation below?

Question illustration
A
mc012-2.jpg
Option A
B
mc012-3.jpg
Option B
C
mc012-4.jpg
Option C
D
mc012-5.jpg
Option D
19

The matrix below represents the solution to a system of equations.Which of the following describes the solution?

Question illustration
A
no solution
B
an infinite number of solutions
C
(–3, 2, –1)
D
(1, 1, 1)
20

The augmented matrix below represents a system of equations.Which matrix results from the operation ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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