Suppose the solutions of a homogeneous system of five linear equationsin six unknowns are all multiples of one nonzero solution. Will thesystem necessarily have a solution for every possible choice of constantson the right sides of the equations? Explain.

Answers

Answer 1

Step-by-step explanation:

The problem can be written as

Ar = where A = 5×6 matrix. dim(NullA)=1 as  all the multiples of Ar=0

are the multiple of one non zero solution.

Since A is 5×6 , A n= 6

rank(A)= n-dim(Nul A)= n-1= 6-1=5

now, imagine A as 5 dimensional subspace of R^5( As  A has 5 rows)

Therefore Col(A)= R^5

This means that Ar = b has a solution for every b.


Related Questions

Look at picture. Will Mark Brainliest. Need answer ASAP. ​

Answers

Easy!
Transposing 2πr to LHS, we get h= S/2πr, so the first one! (the one you’re covering your cursor with)

Which number is a solution of the inequality c > 5?

A) 2
B) 2.5
C) 5
D) 6.5

Answers

Answer:

6.5

Step-by-step explanation:

Someone please help me

Answers

Answer:

The third option

Step-by-step explanation:

If you plug -4 in for x in the first option, you would get 12 +  which is 14 and

14 ≠ 5.

If you plug in -4 for the second option you would have -0.75 times -4 which is 3 and 3 plus 8/3 would not give you a whole number so it is not equal to 5.

If you plug in -4 to the third option you would get -4 times -0.75 which is 3 and 3 + 2 = 5. But to check the rest of the numbers you would plug in 0 for x and get -0.75 times 0 is 0 and 0 + 2 = 2.

For the last option, just to eliminate all other options, if you plug in -4 for x you would have 2 times -4 which is -8 and -8 - 0.75 would not be a whole number so it could not be 5.

2 - x + 3x - 20
What is the answer

Answers

Answer: 2x -18

Step-by-step explanation:

Combine like terms

2-20 = 18

3x-1x = 2x

Put in standard form x before reg number

Mrs. Pearson's class needs to pick a President, Vice President, and Treasurer. If there are 32 students in the class, how many different ways could the roles be assigned?

Answers

Answer:

Like below

Step-by-step explanation:

If a student can get multiple positions, then you can do 32x3=96

If not then you can do 32 for President 31 for VP and 30 for T. That would be 93, I believe

can anyone help please!?

Answers

9514 1404 393

Answer:

  x = √66

Step-by-step explanation:

In a geometry like this, the right triangles are all similar. Then the length of the long side to the hypotenuse is ...

  6/x = x/(6+5)

  6·11 = x²

  x = √66

_____

Additional comment

The relation g=√(ab) gives the geometric mean (g) of the two numbers 'a' and 'b'. In this geometry, there are three geometric mean relationships.

  long side = geometric mean(long segment, hypotenuse) . . . x = √(6·11)

  short side = geometric mean(short segment, hypotenuse) . . . y = √(5·11)

  altitude = geometric mean(long segment, short segment) . . . BD = √(6·5)

Simplify the equation
6 – 6w + 6w + 9 + 10w
Please I need help with this I'm stuck

Answers

Answer:

10w+15

Step-by-step explanation:

-6w+6w+10w=10w

6+9=15

hope this helps. Happy Holidays

y= 4x+6
-5x-y=21

what is the answer?

Answers

I think the answer is (-8,-26)

Explain the two errors in the following simplification:
please i need help!!!!!!!!!!!!! this is due tonight!!!!

Answers

Answer: 3-4log₃(x)

Step-by-step explanation:

the biggest error

if it is a division of log we have to subtract

log₃(27)-lox₃(x^4)=3-4log₃(x)

La proporción de niños y niñas en la obra escolar es de 5 a 8. Hay 32 niñas que participan en la obra. ¿Cuántos niños participan en la obra escolar?

Answers

Answer:

Total children = 52

Step-by-step explanation:

The question says that "The ratio of boys to girls in the school play is 5 to 8. There are 32 girls participating in the play. How many children participate in the school play? "

Let there are 5x boys and 8x girls in a school play.

Total no of girls participating in the play = 32

ATQ,

8x = 32

x = 4

Boys = 5x

= 5(4)

= 20

Total children = boys + girls

= 20 + 32

= 52

Hence, there are 52 children participating in the school play.

How to write equation of line
With the
Slope=-1/5
Y-intercept=-3
In point slope form

Answers

Answer:

Y= -1.5x - 3

Step-by-step explanation:

i need help solving this!

Answers

Answer:

x=45°

Step-by-step explanation:

Since the angle is acute it's half of a right angle.

Right Angle is 90°

So u divide the right angle By 2 (90°÷2) You would get 45°

solving quadratic equations by factoring
[tex](2x+9)(1x+2)=0[/tex]

Answers

Answer:

x=-9/2, -2

Step-by-step explanation:

2x+9=0 subtract 9 and divide by 2 to isolate x.

x=-9/2

(writing a 1 in front of the x is unnecessary)  x+2=0 subtract 2 to isolate x.

x=-2

If 45% of all vehicle owners own an suv, 25% own a truck and 40% do not own either vehicle , then what % of vehicle owners:
A: owns an SUV only
B: OWns a truck only
C: Owns both a truck and SUV

Answers

Answer:

i am pretty sure the answer is c

For equations in the form y=kx, if x=0, then y=

Answers

Answer:

0 zero

Step-by-step explanation:

anything multiplied by 0 is zero

The Cadet football team has a giant water cooler that is currently holding 60 quarts of water.
However, the water cooler develops a leak during the game, and is losing water at a rate of 4 quarts
per minute.
Part A: Write a function representing the amount of water, w(t), still in the cooler after t minutes.
Part B: how many minutes will it take for the cooler to be empty? The cooler will be empty after___ minutes

Answers

Answer:

Part A: w(t)=60-4t

Part B: w(15)=60-60=0

The cooler will be empty after 15 minutes.

Step-by-step explanation:

please help :)) im bad at math

Answers

Someone help her. I’m bad at math too
I think it’s C
Merry Christmas

7.62 times 5.9 i need help please

Answers

Answer:

44.958

Step-by-step explanation:

your answer would be 44.958 :)

what does -2.3f +0.4f-13-5 equal?

Answers

Answer:

-1.9f-18

Step-by-step explanation:

Evaluate like terms. (0.4f-2.3f) & (-13-5)

-2.3f+0.4f-13-5 = -1.9f-18

Given: x + y = 10.



If x = -21, what is y?

31
11
-31

Answers

Y would be 31.

It wouldn’t be 11 because x is -21, so 11 + -21 would be -10.

It wouldn’t be -31 because that would make -52.

So, clearly your answer would be 31.

Please do me a favor and mark this as Brainliest! :))

Answer:

y is 31

Step-by-step explanation:

we need to substitute first

x + y = 10

x= -21 so...

-21 + y = 10

now we need to add 21 on both sides of the equation, we are adding because  21 because we want that 21 gone, and it's the oppisite of subtracting

-21 + 21 + y = 10 + 21

0 + y = 10 + 21

y= 31

Check:

x+y=10

-21 + 31= 10

10 = 10 correct!

Hope this helped!

anyone here a kpop stan?

Answers

Nooooo but why ? Is it important
Oop umm me... haha why?


Which decimal is equivalent to ?
29/11
Choose 1 answer:
2.63
2.6363
2.63
2.6

Answers

The answer for this question is 2.63.

Answer:

2.6364

Step-by-step explanation:

I dont get this so cant help daughter

Answers

1.

We are told that the coordinates of the image are of the formula:

P'(x-2 , y-3) where x and y are the actual points and x-2 and y-3 are the reflections

Finding the coordinates of point A:

We are given that the coordinates of reflection of A are: A'(-4 , 3)

we also know that reflected point follow the formula: P'(x-2 , y-3)

So, the points of A'(-4 , 3) follow the formula P'(x-2 , y-3)

So, their respective x and y coordinates will be equal

Hence,

x - 2 = -4

x  = -2                 [adding 2 on both sides]

Also,

y - 3 = 3

y  = 6                 [adding 3 on both sides]

Therefore, the coordinates of A are A(-2,6)

Finding the coordinates of B:

We are given the coordinates of B' are B'(-4 , 2)

So,

x - 2 = -4

x = -2             [adding 2 on both sides]

also,

y-3 = 2

y = 5             [adding 5 on both sides]

Therefore, the coordinates of B are: B(-2,5)

Finding the coordinates of C:

We are given that the coordinates of reflection of C are: C'(-2,3)

Using the general formula given in the question:

x - 2 = -2  

x = 0            [adding 2 on both sides]

y - 3 = 3

y = 6            [adding 3 on both sides]

Therefore, the coordinates of C are: C(0,6)

Finally, the coordinates of A, B and C are:

A(-2,6)   ,    B(-2,5)   ,    C(0,6)

__________________________________________________________

2.

Reflecting the pre-image along the x-axis

To reflect along x-axis, we multiply the y-coordinate by -1

Coordinates of the pre-image:

A(-2,6)   ,    B(-2,5)   ,    C(0,6)

Coordinates of points reflected along the x-axis:

A(-2,-6)   ,    B(-2,-5)   ,    C(0,-6)

Can someone old help this is not a quiz it is just homework.

Answers

Answer:

Division property of equality

Step-by-step explanation:

to find n you would have to divide 16 by 8 which gives you 2

653654755776+64746776765465-6564756775755x65667754544

Answers

Answer:

bruh finally

Step-by-step explanation:

what number come next 1 4 9 16 25 36​

Answers

Explained
Jenenjs
Nansjn
Jsnsjj
Jsns. 46 is a so

43

Determine whether each sequence is arithmetic, geometric, or neither. Then find a formula for the nTh term of the sequence 3,5,9,17...

Answers

Answer:

Neither

Step-by-step explanation:

Given sequence:

3, 5, 9, 17, ...

We can write the terms as:

3 = 2^1 + 15 = 2^2 + 19 = 2^3 + 117 = 2^4 + 1...aₙ = 2^n + 1

As we see the sequence doesn't meet AP or GP criteria, there is no common difference or common factor between the terms

Answer:

an=2^n(+1)

Step-by-step explanation:

A soccer team traveled to a game in 4 vans. Each van held 6 players. Two of the players are goalkeepers. How many of the players are not goalkeepers?​

Answers

Answer: 22

Work:
4 * 6 = 24
24 - 2 = 22

Answer:

22

Step-by-step explanation:

(6x4)-2

multiply the number of vans by the number of player in each van which equals 24 then subtract the 2 goal keepers which equals 22.

Factor -4 out of -8d + 20

Answers

Answer:

2d-5

Step-by-step explanation:

Take out or divide everything in the expression by -4

So, (-8d+20) ÷ -4 = 2d-5

To check your answer, multiply:

-4 × (2d-5) = -8d+20

The linear expression in one variable -8d + 20 can be written as -4(2d - 5) after factoring -4 from it.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The linear expression in one variable is:

= -8d + 20

Here d is the variable

Taking common as - 4 from the linear expression:

= -4(2d - 5)

Thus, the linear expression in one variable -8d + 20 can be written as -4(2d - 5) after factoring -4 from it.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

A sampling distribution is the probability distribution of _____. Group of answer choices a population parameter a sample statistic an observation that is randomly selected from the population a sample

Answers

Answer:

"a Sample Statistic"

Step-by-step explanation:

A sampling distribution is defined as the probability distribution of "a statistic" drawn from a large number of samples gotten from a specific population. In order words, it is a sample statistic.

Thus, the correct answer is "a Sample Statistic"

The sampling distribution is the probability of a particular report based on random sampling; it displays the most likely values of various sample means

Sampling distribution:

It is a probability distribution of data mining, which is the process of analyzing larger samples gathered from a given population.  

In this, a particular population is the distribution of frequencies of a variety of possible outcomes for a population statistic.

It is the distribution of the probability for a statistic is generated from a large number of samples gathered from a certain population.

Therefore, "The sampling distribution is the probability of a particular report based on random sampling; it displays the most likely values of various sample means".

Find out more information about the sampling distribution here

brainly.com/question/10554762

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