Is it possible that all solutions of a homogeneous system of ten linear equations in twelve variables are multiples of one fixed nonzero solution

Answers

Answer 1

The answer is no, because the Rank Theorem tells us that rank A + dim Nul A = 12 . Since the rank can be at most 10, the null space has to have dimension at least two.


Related Questions

Liz wants to hang a painting on her
wall so that it is centered. The wall is
110 inches wide, and the painting is
28 inches wide.
3
Determine how far the edges of the
painting need to be from the ends of
the wall, expressed as a mixed number.

Answers

Answer:

[tex]41\frac{1}{8}[/tex]

solve: answer is x is greater than or equal to 3.​

Answers

Answer:

x ≥ 5

Step-by-step explanation:

[tex]\sf 4x+3\ge \:23[/tex]

subtract 3 from both sides

[tex]\sf 4x+3-3\ge \:23-3[/tex]

simplify

[tex]\sf 4x\ge \:20[/tex]

divide both sides by 5

[tex]\sf \dfrac{4x}{4}\ge \dfrac{20}{4}[/tex]

simplify

[tex]\sf x\ge \:5[/tex]

Answer:

x ≥ 5

Step-by-step explanation:

To simplify the given inequality, we need to isolate the variable "x".

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Step-1: Subtract 3 both sides

4x + 3 ≥ 23

⇒ 4x + 3 - 3 ≥ 23 - 3

⇒ 4x ≥ 23 - 3

⇒ 4x ≥ 20

Step-2: Divide 4 both sides

⇒ 4x ≥ 20

⇒ 4x/4 ≥ 20/4

x ≥ 5

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

(Note: The solution of the book you provided in your question is incorrect. Seek below for proof)

*answer is x is greater than or equal to 3.​*

Substituting 3 in the inequality:

4x + 3 ≥ 23

4(3) + 3 ≥ 23

12 + 3 ≥ 23

15 ≥ 23  (False)

Whats the answer to this

Answers

Answer:

about 11

Step-by-step explanation:

6 is 15% of what amount

Answers

Answer:

6 is what percent of 15? = 40.

I hope this answers your question

Hi! So this is how I solve it (the answer is at the end):
6/x = 15/100
You cross multiply (6x100=600) and then divide by 15
Once you divide 600 by 15 you should get 40
Hopefully this makes sense :)

The pressure of a gas tank is 234.24 atm at 295 K. Whatis the gas pressureif the temperature is raised back to 333k?

Answers

Answer:

Step-by-step explanation:

The pressure of a gas tank is 234. 24 atm at 295K. What is the gas pressure if the temperature

The pressure of a gas tank is 234. 24 atm at 295K. What is the gas pressure if the temperature is raised to 333K. P1/T1=P2/T2

ind the area of the figure.
A) 14 cm2
B) 50 cm2
C) 60 cm2
D) 64 cm2

Answers

Answer:

D) 64

Step-by-step explanation:

(10 x 12) - (8 x7) = 120-56 = 64


answer: 64 square cm

What’s the answer????

Answers

Answer:

the last one I think. number 4

Answer: The last one

Step-by-step explanation:

It's not required by law

You have to pay $2000 on your own

It can definitely be over $500

It's a yearly amount

Help picture below problem 12

Answers

Answer:

isosceles triangle is shown in fig

Question 6 (8 points)
Please enter the binary IP address equivalent for the following decimal IP address (use the "dorted" format as shown and use 8 bits for each
Octet)
192.168.1.5 -
Blank 1:
Blank 2:
Blank 3:
Blank 4:

Answers

Answer:

blank1: 00110001 00111001 00110010

blank 2: 00110001 00110110 00111000

blank 3:00110001

blank 4:00110101

A cube-shaped box is filled with coffee beans. Which equation represents the density of coffee beans in the box? Let c represent the number of coffee beans.

Answers

Answer:

option b I guess

Step-by-step explanation:

D=c/s³ would be the answer

7
Perez Company is considering an investment of $29,480 that provides net cash flows of $8,900 annually for four years.
(a) What is the internal rate of return of this investment? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from
the tables provided. Round your present value factor to 4 decimals.)
(b) The hurdle rate is 7%. Should the company invest in this project on the basis of internal rate of return?
Complete this question by entering your answers in the tabs below.
Book
Required A
Required B
Hint
What is the internal rate of return of this investment?
Present value factor
Internal rate of return
%
Esk
< Retired A
Required B
Print
erences

Answers

The internal rate of return of this investment is 8%.

If the hurdle rate is 7%, the investment should be invested in.

What is internal rate of return?

Internal rate of return is a capital budgeting method that determines the the discount rate that equates the after-tax cash flows from an investment to the amount invested

If the internal rate of return is greater than the hurdle rate, the investment should be undertaken. If this is not the case, the investment should not be invested in.

IRR can be calculated with a financial calculator

Cash flow in year 0 =  $-29,480

Cash flow each year from year 1 to 4 = 8900

IRR = 8%

To learn more about IRR, please check: https://brainly.com/question/26484024

the angles of a triangle are (x+5)bdegree,(x+10) degree and (x+15) degree. make an equation and find the Actual sizes of the angles​

Answers

Answer:

See below ~

Step-by-step explanation:

Given : 3 angles of a Δ

(x + 5)°(x + 10)°(x + 15)°

Solving :

According to Angle Sum Property of a triangle, the angles of a triangle add up to 180°x + 5 + x + 10 + x + 15 = 1803x + 30 = 180x + 10 = 60x = 50

Finding the angles

x + 5 = 50 + 5 = 55°x + 10 = 50 + 10 = 60°x + 15 = 50 + 15 = 65°

What is the circumference in centimeters, of the circle?
Use 3.14 for TT

Answers

Step-by-step explanation:

the full question please

1 point
Item at position 12
Find x and the measure of angle P.

x =
Question Blank 1 of 2
type your answer...
,
angle P =
Question Blank 2 of 2
type your answer...
degrees

Answers

Answer:

Step-by-step explanation:

Angle sum property of triangle: Sum of all angles of triangle is 180

∠P + ∠Q + ∠R = 180

10x - 4  +4x - 22 + x +11 = 180

10x + 4x + x - 4 - 22 + 11 = 180

Combine like terms,

              15x  - 15 = 180

Add 15 to both sides

                     15x = 180 + 15

                     15x = 195

Divide both sides by 15

                         x = 195/15

x = 13

∠P = 10x - 4

     = 10*13 - 4

      = 130 -4

∠p = 126°

A jar of 36 coins contains 9 pennies. What percent of the coins are Pennies

Answers

9/36= .25


The answer is 25%

Answer:

25%

Step-by-step explanation:

The fraction of coins which are pennies

= 9/36

= 1/4.

As a percent this is 1/4 * 100

= 25%.

Help!! ( will mark brainly)

Answers

Answer:

Multiply 20%, or 1/5, times 200 to get about 40 students.

Step-by-step explanation:

You fill in the rounded numbers you got already, like the 19% to 20%, and the 205 to 200. You substitute the information into the blanks to get the answer.

I hope this helps and please mark me as brainliest!

Find the following measure for this figure.

A radius of 5
and a length of 11

Lateral area = ?

a. 55 square units
b. 5√(47) square units
c. 5√(146) square units

Answers

l=11r=5

Now

LSA:-

πrlπ(11)(5)55πunits ²

HELPP ASAPP (BRAINIEST SBB )

Answers

Answer:

The one to the upper right, with a triangle on opposite ends of both sides. It looks like the one in the photo I included.

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple, and yellow.

Answers

Answer:

black and white should do right?

There are 20 ways to choose 2 colors without replacement, considering the order of choices as relevant, from the 5 colors: red, blue, green, purple, and yellow.

If the order of choices is relevant, it means we are dealing with permutations.

To calculate the number of ways to choose 2 colors from 5 colors without replacement and with order being relevant, we use the concept of permutations.

The number of permutations of choosing r items from n distinct items is given by the formula:

P(n, r) = n! / (n - r)!

where "n!" denotes the factorial of n, which is the product of all positive integers from 1 to n.

We want to choose 2 colors from 5 colors, so n = 5 (total colors) and r = 2 (colors to be chosen).

P(5, 2) = 5! / (5 - 2)!

= 5! / 3!

= (5 × 4 × 3 × 2 × 1) / (3 × 2 × 1)

= 120 / 6

= 20

Therefore, there are 20 different ways to choose 2 colors from the 5 colors (red, blue, green, purple, and yellow) without replacement and with the order being relevant.

To learn more on Permutations click here:

https://brainly.com/question/3867157

#SPJ3

Complete question:

suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple, and yellow.

How many ways this can be done, if the order of choices is relevent

All of the following have the same solution except _____. 50 = 5 m x - 6 = 4 = 2 b + 2 = 8

Answers

Answer:  b+2=8

Step-by-step explanation:

Help my sister please she needs help I don’t know because I forgot

Answers

Answer:

15 shrimps

Step-by-step explanation:

We already know that a small shrimp taco has 5 shrimps.

⇒ [tex]\text{1st equation: small shrimp taco = 5 shrimps}[/tex]

We also know that a large taco has 3 times more shrimps than a small taco.

⇒ [tex]\text{2nd equation: shrimps in a large taco = 3(Shrimps in a small taco)}[/tex]

Finding the number of shrimps in a large taco:

Now, simply substitute the number of shrimps in a small shrimp taco in the second equation to find the number of shrimps in a large taco.

⇒ [tex]\text{Shrimps in a large taco = 3(5) shrimps}[/tex]⇒ [tex]\boxed{\bold{\text{Shrimps in a large taco = 15 shrimps}}}[/tex]

Answer:

15 shrimp

Step-by-step explanation:

5 shrimp * 3 = 15shrimp

What is 28.6 rounded to the nearest tenth ?

Answers

Answer: 28.6

Step-by-step explanation:

To round 28.6 to the nearest tenth consider the hundredths’ value of 28.6, which is 0 and equal or more than 5. Therefore, the tenths value of 28.6 increases by 1 to 7.28.6 rounded to the nearest tenth = 28.6 hope that helps

Please help me

10 points

Answers

answer:

127.2345in²

explanation:

attached

--

if this helped, please consider giving brainliest !

Find a polynomial f(x) of degree 5 that has the following zeros -1,4,2,0,3

Answers

Answer:

Given that f(x) contains the discrete points of{(0, 3), (1, 4), (2, 0), (3, 1), (4, 2)}, the value of (f of)(0) is5.

You have been selected by the members of White House to participate in a one-mile race (1 mile = 5,280 feet) on Sports Day. Another student from Blue House will race against you. You know from some trials in PE that you run at an average rate of 12 feet per second. Since the student from Blue house runs 10 feet per second, you have been asked to let him have a 1000-ft. head start.

If both of you maintain the estimated rates, would you be able to beat your opponent in the one-mile race?

REASONING: If both of you maintain the estimated rates, would you be able to beat your opponent in a one-mile race?

Answers

Answer:

Blue wins

Step-by-step explanation:

Blue runner   4280 ft / 10 ft/sec = 428 sec to finish

Red                5280 / 12 =    440 sec     Blue will win

How many pints are in​6 1/2​quarts?

314​pt

13 pt

1912​pt

26 pt

Answers

Answer:

13 pints

Step-by-step explanation:

6 1/2 (6.50) quarts is equal to 13 pints

Answer:

13pt

to go from quarts to pints multiply the value by 2

what does -2/3 + 1/6 =

please show work

Answers

Answer: negative 1 over 2

− 1/2

=negative 0.5−0.5

Reason why:

Step 1 of 2: Add.

Add

(negative 2 over 3 − 2/3) + 1 over 6

1/6

= negative 3 over 6 −3/6

Simplify

negative 3 over 6−

3

6

= negative 1 over 2−

1/2

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

negative 3 over 6 −3/6

= −( 3 ÷ 3 ) over ( 6 ÷ 3 )

3 ÷ 3 6 ÷ 3 = negative 1 over 2 −1/2

Barry's income can be calculated as $17 times the number of hours worked (h) added to his commission of $200. If he subtracts $300 to pay a bill, his income totals $580. Which expression represents Barry's income?

Answers

17h + 200 = 580 + 300
17h + 200 = 880
17h = 680
680 / 17
H = 40

I would really appreciate the help on this please

Answers

Answer:

[tex]{x}^{3} + 2x ^{2} - 6x + 45[/tex]

Step-by-step explanation:

sorry I didn't write it out...

What is the least common denominator for the fractions 6/9 and 1/5

Answers

Answer:

45

Step-by-step explanation:

Calculate the least common multiple LCM(9; 5)

LCM(9; 5) = 45

Find additional factors for each fraction, for this divide LCM by the denominators of each fraction:

45 : 9 = 5 (factor of 1 fraction)

45 : 5 = 9 (factor of 2 fraction)

We multiply the numerator and denominator of each fraction by an additional factor of this fraction:

6/9=6/9 ⋅ 5/5=30/45

1/5=1/9 ⋅ 9/9=9/45

Result

6/9=30/45

1/5=9/45

Hope this Helps!

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