Which of the following subsets of ℝ3×3 are subspaces of ℝ3×3? A. The 3×3 matrices of rank 2 B. The 3×3 matrices in reduced row-echelon form C. The 3×3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) D. The diagonal 3×3 matrices E. The 3×3 matrices with all zeros in the second row F. The invertible 3×3 matrices

Answers

Answer 1

Answer:

The answer is "Option C, Option D, and Option E".

Step-by-step explanation:

In point, A: Its matrix (aA+bB) for A, B matrices of rank 2 is not always of rank 2. for Rank(A+B) is smaller or equivalent to RankA+B.

In point B: The two matrices, A, B, and each entry is equal to or larger than zero. Then, take a = -1 = b, and so all entries (aA+bB) belong to the subset are less than or equal to Zero.hence.

In point C: We get the matrix (aA+bB) for A, B matrices with trace 0. Trace zero.  (aA + bB) trace is  (a×trace(A) + b×trace(B)) thus null.

In point D: For Both A and B, the matrix (aA+bB) is again diagonal for two diagonal matrices.

In point E: For Both A and B matrices, each insertion in second row zero will also have the second-row matrix (aA+bB) as zero.

In point F: In this case, A and B must become two reduced raw echelons, so that A+E is also a reduced raw shape.


Related Questions

Select all the expressions that are rational numbers.
a. 3.14159…
b. –9.1234567123…
c. –9.293847210103938…
d. 227
e. –26

Answers

Answer:

d,e

Step-by-step explanation:

rational numbers are positive and negative whole numbers.

Answer:

d,e

Step-by-step explanation:

A TV show has 26 episodes. Due to the lack of time, you can onlywatch 5 of them. However, in order to get a gist of what the showis about, you do not want to watch any two consecutive episodes.How many selections of 5 episodes are there with no two consecutiveepisodes chosen? Assuming that the order of selection is irrelevant.(Hint:this is a Stars and Bars problem)

Answers

Answer:

Step-by-step explanation:

Recall that: The number of combination to select any k consecutive element from n consecutive term is given by the equation [tex]^{n-k+1}C_k[/tex]

[tex]= \begin {pmatrix} ^{n-k+1}_{k} \end {pmatrix}[/tex]

where:

n = 26

k = 5

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{26-5+1}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{22}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(22-5)!}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(17)!}[/tex]

[tex]\mathbf{^{n-k+1}C_k=26334}[/tex]

Therefore, there are 26334 selection of 5 episodes with no two consecutive episodes chosen

What is the solution to this equation?
3x - 5 + 2x = 25
O A. x = 6
O B. x = 30
O C. x = 4
O D. x = 20

Answers

The awnser would be A

Answer:

A. X = 6.

Step-by-step explanation:

First, combine like-terms. Combine 3X and 2X to get 5X.

Next, add five to both sides to get rid of the five on the other side. This should get you 30.

Finally, divide by 5, you should get X = 6.

Simplify the given expressions.

(7−2)2−(2+1)(2−5)

Answers

Answers 19 hope it helps you :)!

The answer is 19. ( i think)

| 1) A penny made in 1982 weighs about 0.11 ounce. A
penny made in 2013 weighs about 0.09 ounce. Which
penny weighs more? Solve this problem any way you
choose.

Answers

Answer:

Weight in 1982

Step-by-step explanation:

Given parameters:

 Weight of penny in 1982 = 0.11 ounce

  Weight of penny in 2013 = 0.09 ounce

Unknown:

Which penny weighs more = ?

Solution:

  Simply, we are looking for which number is higher,

     0.11 or 0.09

Let us find the differences;

   if x is greater than y then,   x - y must be positive

If 0.11 is greater then 0.09, then 0.11 - 0.09 must be positive

                                                      = 0.02, it is positive

The weight of a penny in 1982 is greater than that in 2013

7
Felicia is making trail mix. The recipe calls for 3 cups pretzels and 1.5 cups of m&m's.
She wants to make 27 cups of trail mix for a birthday party. How many cups of pretzels and m&m's does she need?

Answers

Answer:

81 Cups of Pretzels and 40.5 Cups of M&M's

Step-by-step explanation:

p= Pretzels

m= M&M;s

3p+1.5m= 1

3(27)+ 1.5(27)

81 + 40.5

y=-4/5x-5..........................,........

Answers

Answer:

what is the question exactly?

Step-by-step explanation:

you just gave me an equation to work with

How many times greater is the product of 4 x 300 than the product 4 x 30

Answers

Answer:

10 times bigger

Step-by-step explanation:

because if you do 4 times 300 thats 1200

and if you do 4 times 30 then you get 120

and 120 times 10 is 1200 so there you go.

HOPED THIS HELPED!!!!!!!!! :D

Contribution Margin, Break-Even Sales, Cost-Volume-Profit Chart, Margin of Safety, and Operating Leverage

Youngsville Industries Inc. expects to maintain the same inventories at the end of 20Y5 as at the beginning of the year. The total of all production costs for the year is therefore assumed to be equal to the cost of goods sold. With this in mind, the various department heads were asked to submit estimates of the costs for their departments during the year. A summary report of these estimates is as follows

Estimated Fixed Cost

Estimated Variable Cost (per unit sold)

Production Costs:



Direct Materials


$48


Direct Labor


$38


Factory Overhead


$150,000


$25

Selling Expenses:



Sales salaries and commissions


$125,000


$10


Advertising


$50,000



Travel


$15,000



Miscellaneous selling expense


$10,000


$2

Administrative Expenses:



Office and officers' salaries


$140,000



Supplies


$10,000


$5


Miscellaneous administrative expense


$10,000


$2

Total


$510,000


$130



It is expected that 22,175 units will be sold at a price of $170 a unit. Maximum sales within the relevant range are 27,500 units.

Answers

Answer:

Giving the following information:

Units sold= 450,000

Total Sales= $12,150,000

Total variable cost= $6,925,500

Total fixed cost= $3,242,673

First, we need to calculate the unitary selling price and variable cost. Then, we calculate the contribution margin.

Selling price= 12,150,000/450,000= $27

Unitary variable cost= 6,925,500/450,000= $15.39

Contribution margin per unit= 27 - 15.39= $11.61

To calculate the contribution margin ratio, we need to use the following formula:

Contribution margin ratio= contribution margin/ selling price

Contribution margin ratio= 11.61/27

Contribution margin ratio= 0.43

To calculate the break-even point both in units and dollars, we need to use the following formulas:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 3,242,673 / 11.61= 279,300 units

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 3,242,673/0.43= $7,541,100

Finally, we need to incorporate the desired profit to the break-even point formula:

Break-even point in units= (3,242,673 + 426,087) / 11.61

Break-even point in units= 316,000 units

Step-by-step explanation:

Plz help :( I need the negative if y plz show steps 6X plus 6Y equal 83/9 upper 2N

Answers

Answer:

x=8

Step-by-step explanation:

Simplifying

Combine like terms

Solving

Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is 0.36, the probability that "she's up all night for good fun" is 0.41, and the probability that "she's up all night 'til the sun" is 0.36, what's the probability that "she's up all night 'til the sun" AND "she's up all night for good fun"?

Answers

Answer:

0.41

Step-by-step explanation:

S = "she's up all night 'til the sun"

F = "she's up all night for good fun"

P(S or F) = P(S) + P(F) − P(S and F)

0.36 = 0.36 + 0.41 − P(S and F)

P(S and F) = 0.41

18 rolls of paper towels cost $25.99. Determine the cost of one roll of
toilet paper.

Answers

Answer:

$1.44

Step-by-step explanation:

Answer:

$1.44

Step-by-step explanation:

You divide $25.99 by 18 to get $1.44

HELP ASAP PLEASE!!!!!!!!

Answers

Answer:

b) in the fourth round, there was one team left in the tournament.

c) no because with only one team left, the tournament ends.

ANSWER NOW THE WORLD iS AT STAKE
2x + 8 > − 4


Translate the inequality into written language.
Find the solution set of
x
and describe how you would graph it on a number line.

Answers

Answer:

x>-6

Step-by-step explanation:

2x+8>-4

-8      -8

2x>-12

2x/2 > -12/2

x>-6

the open circle is going the way the symbol is going on the graph, which is >.

Answer:

x>-6

Step-by-step explanation:

Rewrite the following using the GCF and the distributive property
:32 + 54

Answers

Answer:

GCF: 2

Step-by-step explanation:

GCF: 2

(2*16) + (2*27)

Orbital Toys sells two types of sets of magnetic spheres, silver and brass. The store owner, Lucy Ball, pays $8 and $16 for each one set of silver magnetic spheres and brass magnetic spheres respectively. One set of silver magnetic spheres yields a profit of $3 while a set of brass magnetic spheres yields a profit of $5. Ms. Ball estimates that no more than 2000 sets of magnetic spheres will be sold every month and she does not plan to invest more than $20,000 in inventory of these sets. How many sets of each type of magnetic spheres should be stocked in order to maximize her total monthly profit? What is her maximum monthly profit?​

Answers

Answer:

The maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.

Step-by-step explanation:

In order to solve this you need to create a system of equations, with two values that will create the answer we are looking for, the thing that we don't know here is how many of each are we buying so the number of silver magnetic spheres will be represented by "y" and the brass magnetic spheres will be represented by "x".

So we know that x+y=2000

That's our first equation, our second would be the expense, which would be

8x+16y=20,000

We now just solve for one of them

x=(2000-y)

8(2000-y)+16y=20,000

16,000-8y+16y=20,000

8y=4,000

y=500

So we know that the maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.

simplify 3 · 32 + 8 ÷ 2 − (4 + 3)

Answers

Answer:

= 93

Step-by-step explanation:

Calculate within parentheses:

(4+3)

= 7

Simplify:

= 3 * 32 + 8 ÷ 2 - 7

Multiply and divide (left to right):

= 96 + 8 ÷ 2 - 7

Multiply and divide (left to right):

= 96 + 4 - 7

Add and subtract (left to right):

= 93

USE A PROTRACTOR TO MEASURE THE FOLLOW
1)
2)
Answer:
Answer:
3)
4)

Answers

Answer:

1) 130°

2) 180°

3) 200°

4) 50°

Step-by-step explanation:

Hope it helps!!

:D

A. <5, <7, <8, <11, <12, <14, <16, <17

B. <7,<8,<11,<12,<15,<16,<17,<18

C. <7,<8,<11,<12,<16,<17

D. <11, <12

Answers

Answer:im going to play roblox

Step-by-step explanation:

If 4x + 3x - 2(x + 5) = -9, then x = ?
A-12
B
C
Is
D
213
E
"15

Answers

X = 4 because 4 + 5 =9

Answer:

the answer is 5

Step-by-step explanation:

1. first you need to take -2 and use the distributive property on (x + 5). when you do that you should get -2x -10.

2. 2nd then your equation should look like 4x + 3x -2x -10 = -9.  so after you get this equation you then add 4x + 3x. you should get 7x and your equation should look like 7x -2x -10 = -9.

3. 3rd the next step is to take 7x and subtract it from -2x. when you get dont doing this you should get 5x and then your equation will look like 5x -10 = -9.

4. 4th now we need to get all the normal numbers to one side. so you will add a positive 10 to the negative 10. when you do that the numbers cancel out. you have to do this to both sides. so you will add a positive 10 to the negative 9 and you should get positive 1. when you complete this step your equation should look like 5x = 1.

5. 5th you take 5x and divide it by 1 and you should get 5. 5 is your answer.

hope this helped!

p.s it would be cool if you gave me brainliest.

what is 1x7791789x79188037891883+8904781982994

Answers

Answer:

6.17016491E20

Step-by-step explanation:

6.170164915E20
This is wild but it’s what my calculator says

Raj and his friends went to the movies today and ate 875 Which steps can be used to find how much popcorn pieces of popcorn, or 125% more than they ate when Raj and his friends ate at the movies last week? they went to the movies last week. Check all that apply. Popcorn 125 + 750 = 875 eaten today 0 125 875 O 125 x 7 = 875 100 x 7 = 700 pieces of popcorn 100 + 750 = 850 pieces of popcorn 0 100 ? 125 + 875 = 1000 pieces of popcorn Popcorn eaten last week​

Answers

Answer:

125 x 7 = 875 pieces of popcorn

100 x 7 = 700 pieces

Step-by-step explanation:

Answer:

Step-by-step explanation:

B and C

In a square what is the relationship between the length and the side of the area?

Answers

Answer:

Length X width = area

Step-by-step explanation:

Hope this helps

the graph shows the total number of inches of snow that fell in a town in february over ten year period. what is the approximate probability that year 11 will have more that 15 inches of snow?

Answers

Answer:

0.6 because its 58% chance which is 0.58 which rounds to 0.6

Step-by-step explanation:

6. The admission fee to an amusement park is $20. It
costs an additional p dollars to rent a locker to hold
your belongings. The total cost for 3 people to
enter the amusement park and each rent a locker is
$87. How much does it cost for one person to rent a
locker?

A. $9
B. $29
C. $10
D. $1

Answers

It is A. $9 because 9x3 is 27 which is the additional cost after the $20 for each person

Determine the measure of < 7
o 53
o 133
o 127
o 47

Answers

Answer:
• 127

Explanation:
How to find 127,
The line is 180°, so you take 53 minus 180.
180-53=127

Hope this helps! Good luck :)

Question 6 of 10
What is the effect on the graph of f(x) = 1 when it is transformed to
g(x) = } - 7?
A. The graph of f(x) is shifted 7 units to the right.
B. The graph of f(x) is shifted 7 units down.
C. The graph of f(x) is shifted 7 units to the left.
O D. The graph of f(x) is shifted 7 units up.
SIR

Answers

Answer:

D I'm pretty sure

Step-by-step explanation:

Answer:

Its B. i just did this question.

Step-by-step explanation:

She don't believe in shooting stars,
but she believe in shoes and cars​

Answers

Dun dub what a bop


Thanks

Answer:

This aint a question right?

but for some reason its funny

Step-by-step explanation:

hah my since of humor is broken i luaght at everything

Which of the following is the equivalent to the ratio 5:37
A 10:8
B 20:15
15:9
D 4:2

Answers

Answer:

Step-by-step explanation:

U would 22999+122.3939ading j. Till u wil go to the bathroom

please I need help!!!​

Answers

Answer:

Equation is P=4s

Step-by-step explanation:

There is a pattern here:

8 is 4 times as much as 2

12 is 4 times as much as 3

20 is 4 times as much as 5

40 is 4 times as much as 10

Since P varies directly with s, we can make an equation: P=4s where k=4 in the form of y=kx

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