Answer:
1) a. False, adding a multiple of one column to another does not change the value of the determinant.
2) d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.
Step-by-step explanation:
1) If the multiple of one column of a matrix A is added to another to form matrix B then we get: |A| = |B|. Here, the value of the determinant does not change. The correct option is A
a. False, adding a multiple of one column to another does not change the value of the determinant.
2) Two matrices can be column-equivalent when one matrix is changed to the other using a sequence of elementary column operations. Correc option is d.
d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.
Answer:
- 270 tickets were sold
- not needed: books per player, tickets per book
Step-by-step explanation:
To find the number of tickets sold, the total revenue needs to be divided by the revenue per ticket:
(total revenue)/(revenue/ticket) = total tickets
$810/$3 = 270 . . . total tickets
__
None of the other numbers in the problem are needed: books per player (1), tickets per book (10).
Answer:
8 hours
Step-by-step explanation:
57 + 9h = 129
9h = 72
h = 8
Answer:
51 rows
Step-by-step explanation:
Given
Length of bookmark = 20cm
Distance between beads = 4mm
Required
Number of rows of beads
First, the distance between the rows of beads must be converted to cm
if 1mm = 0.1cm
then
4mm = 4*0.1cm
4mm = 0.4 cm
This means that each row of beads is placed at 0.4 cm mark.
The distance between each row follows an arithmetic progression and it can be solved as follows;
Where 
(The last term)
(The first term)
(The distance between each row of beads)
n = ?? (number of rows)
Solving for n; we have the following;
becomes
DIvide both sides by 0.4
Add 1 to both sides
Hence, the number of rows of beads is 51
Given
There are four defenders on a soccer team
if this represents 20 percent of the players on the team
Find out the total number of players on the team.
To proof
As given in question
four defenders on a soccer team
this represents 20 percent of the players on the team
let the total number of players = x
First convert 20% in the decimal form
Than the equation becomes
0.20x =4
now solving the above equation
we get
x = 20
thus the total number of players on the team are 20.
Hence proved
