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Amanda [17]
2 years ago
7

True or false: The factor by which a row operation changed the determinant is equal to the determinant of the elementary matrix

corresponding to that row operation.
Mathematics
1 answer:
Klio2033 [76]2 years ago
7 0

The given statement is false.

What is the effect of a row operation on a determinant?

The factor by which a row operation intends to change the determinant is not equal to the determinant of the elementary matrix corresponding to that row operation. Rather, when a row is scaled up by a factor in a matrix, the determinant of that matrix also scales up by that factor.

Similarly, the factor by which a row operation changes the determinant is equal to the factor times the determinant of the elementary matrix corresponding to that row operation.

Learn more about a matrix here:

brainly.com/question/9967572

#SPJ4

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(08.06)The following data show the height, in inches, of 11 different garden gnomes:
Elodia [21]

Answer:

The correct statement is:

On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.

Step-by-step explanation:

We are given a data of 11 gardens as:

2   9    1    23    3    7    10    2    10    9     7

Now on removing the outlier i.e. 23 (since it is the very large value as compared to other data points) the entries are as follows:

x         |x-x'|        

2          4              

9          3              

1           5              

3          3              

7           1                

10         4              

2           4              

10          4              

9           3              

7            1              

Now mean of the data is denoted by x' and is calculated as:

x'=\dfrac{2+9+1+3+7+10+2+10+9+7}{10}\\\\x'=\dfrac{60}{10}\\\\x'=6

Hence, Mean(x')=6

Now,

∑ |x-x'|=32

Now mean of the absolute deviation is:

\dfrac{32}{10}=3.2

This means that , On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.

8 0
3 years ago
Tamiami turned in 6 homework assignments. if she turned in 75 percent of the homework assignments that were due how many homewor
vivado [14]
Percemt means parts out of 100
75%=75/100=15/20=3/4

turned in 6
if she turned in 3/4 of total assignments due then how many total?
6=3/4 times total
multily both sides by 4/3 to clear fraction
24/3=total
8=total
answer is 8 homeworks were assigned
5 0
3 years ago
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping.
Nookie1986 [14]

Answer:2

Step-by-step explanation:

.9x+6.8

.65x+7.3

Find x by graphing it

3 0
3 years ago
Read 2 more answers
What other way can I represent 2 1/3 ?
sveta [45]
The following is also equivalent to 2 1/3:

2.33
7/3

Hope this helps, let me know if you have any other questions.


3 0
3 years ago
Read 2 more answers
Kiyo bought a pizza for $12.75 and four medium drinks at Paola’s pizza. Define a variable and write an expression to represent t
Travka [436]
Y = total amount of money spent
x = cost of one drink

So our expression is:
4x + 12.75

4x stands for 4 drinks times x price of one drink
The 12.75 is a one time fee for the pizza, since Kiyo isn't buying multiple pizzas.

The problem also asks us to find the total price, so we write an equation:

y = 4x + 12.75
We insert what x is which in this case is $3
y = 4(3) + 12.75
Order of Operations tells us to multiply first:
y = 12 + 12.75
Now add your values:
y = 24.75
Therefore, Kiyo spent a total amount of 24.75 at Paola's pizza.

Let's check our problem just in case:

24.75 = 4x + 12.75
Since we now know what y is equal to, we can plug that into our original equation and check just to verify

We should subtract 12. on both sides of the equation because of inverse operations:

24.75 - 12.75  = 12.75 - 12.75 + 4x
We are left with:

12 = 4x
We divide:
\frac{12}{4}  =  \frac{4x}{4}
Our result is:
3 = x
Which checks out because each drink was in fact, $3 dollars as stated in the word problem. Hope that was thorough enough.


4 0
3 years ago
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