True or False?
a. If x is a nontrivial solution of Ax = 0, then every entry in x is nonzero.
b. The equation x= x2u + x3v, with x2 and x3 free (and neither u nor v a multiple of the other), describes a plane through the origin.
c. The equation Ax = b is homogeneous if the zero vector is a solution.
d. The effect of adding p to a vector is to move the vector in a direction parallel to p.

Answers

Answer 1

In a situation where x is a nontrivial solution, then every entry in x should not be nonzero. Therefore, it's false.

What is a nontrivial solution?

A nontrivial solution simply means a system of equation where the determinant of the coefficient is zero. When x is a nontrivial solution of Ax = 0, then at least one entry should be nonzero.

The equation x= x2u + x3v, with x2 and x3 free (and neither u nor v a multiple of the other), describes a plane through the origin. This is true. Since they're free variables, the space span has dimensions and this spans through the origin.

The equation Ax = b is homogeneous if the zero vector is a solution. Since x = 0 is a solution. Therefore, Ax = b. Hence, b = 0.

The effect of adding p to a vector is to move the vector in a direction parallel to p. It should be noted that adding p to a vector moves it in a direction that's parallel.

Learn more about nontrivial solution on:

https://brainly.com/question/15120462


Related Questions

how do I type the infinity sign? do not search it up.

Answers

Answer:

Hold the ALT key and type 236 on the number lock keypad.

Step-by-step explanation:

I know this because I look up random stuff because my teachers ask me to.

A large concrete block is used for the cornerstone of a building. The block is 13 yd deep, 13 yd wide, and 16 yd long. What volume of concrete is needed to make this block?

Answers

MARK ME AS BRAINLIST PLEASE

2288ft^3

Step-by-step explanation:

Given data

Dimension of the block

Length= 13ft

Width= 11ft

Height= 16ft

Volume = L*W*H

substitute

V= 13*11*16

V= 2288 ft^3

Hence the volume of the concrete is 2288ft^3

Will give brainliet answer my question if there are 25 frogs and 6 kitten how many animals I have in a fraction. 20 points

Answers

Answer:

2/3

Step-by-step explanation:

Because there are two types of animals, you have 2. And then you do 25+6, which is the sum of all animals.

Answer:

Frogs: 25/31 Cats: 6/31

Step-by-step explanation:

Pls, choose me as brainliest!

division was used in the first example.

Answers

Ok




Sulition because I said do

Salima takes 15 minutes from her house to reach her school on a bicycle. If the bicycle has a speed of 2 m/s . Calculate the distance between her house and the school .

Don't spam .​

Answers

The distance between her house and the school is 1800 meters.

How to get the distance?

We must use the relation:

distance = speed*time

Here we have:

speed = 2m/stime = 15 minutes.

We should rewrite the time into seconds, then we have:

15 minutes = 15*(60 seconds) = 900s

Then the distance is:

distance = (2m/s)*(900s) = 1800m

If you want to learn more about speed, you can read:

https://brainly.com/question/4931057

Hey ! there

Answer:

Distance = 1800 m

Step-by-step explanation:

In the question we're given that Salima takes 15 minutes from her house to reach her school on a bicycle and bicycle has speed of 2m/s .

And we are asked to calculate the distance between her house and the school .So for finding the distance we need to know the speed formula that is ,

[tex] \: \qquad \: \qquad \: \red{\underline{\red{\boxed{\frak{Speed = \frac{Distance}{Time}}}}}} [/tex]

So ,

[tex] \:\qquad \quad \underline{\boxed{ \frak{Distance = Speed \times Time} } }[/tex]✦

As it's given in the question that the speed of bicycle is 2 m/s and she takes 15 minutes to reach the school . So , for finding distance we must have to convert 15 minutes into seconds .

We know that ,

1 minutes = 60 seconds

15 minutes = 15 × 60 seconds

Therefore in 15 minutes we have ,

900 seconds

Now Solving : -

[tex] \longmapsto \: \qquad \: \sf{Distance =2 \times 900}[/tex]

By , multiplying 2 and 900 , We get :

[tex] \longmapsto \: \qquad \: \purple{\underline{\purple{\boxed{\frak{ {Distance = 1800 \: m}}}}}}[/tex]

Therefore , distance between her house and school is 1800 metres .

#Keep Learning

Can y'all help me ASAP?

Answers

Answer:

The answer is the last one.

Step-by-step explanation:

They paid $24.10 dollars, they paid $1.25 each and they paid $2.70 per mile. So, we subtract 2.50 from 24.10, since Landis and her father went together. And then, we divide our answer by 2.70.

24.10 - 2.50 = 21.60

21.60/2.70 = 8

They drove 8 miles.

Which table of values goes with the equation y = x 2 - 2x + 3?


x y
-2 11
-1 6
0 3
1 2
2 3

x y
-2 3
-1 4
0 3
1 2
2 3

x y
-2 3
-1 2
0 3
1 6
2 11

x y
-2 3
-1 2
0 0
1 4
2 11

Answers

Answer:

32 its negatived but u have more so its positive {{32

Step-by-step explanation:

. Jesse's mother needs 24 feet of fabric to make curtains for all of her windows. The fabric is sold by the yard. How many yards of fabric does Jesse's mother need to buy? A 3 yards B 8 yards c 12 yards D 15 yards​

Answers

Answer:

C

Step-by-step explanation:

Answer:

8 years

Step-by-step explanation:

There 3 feet in yard, so 24 divided by 3 is 8.

question is in the attachment​

Answers

Answer:

the first question A is 28

the second question S is -20

Six quarts of milk weigh 13 pounds. Write three different proportions you could use to find the weight of 10 quarts of milk.

Answers

Answer:

1. 130/6

2. 65/3

3. 260/12

Step-by-step explanation:

The first thing to do is calculate The weight of a 10 quarts of milk.

(7^x)^y = 7
What is x • y?

Answers

answer:

x • y = 1

explanation:

[tex]\left(7^x\right)^y\:=\:7[/tex]

[tex]\left(7^x\right)^y=7[/tex]

[tex]xy=1[/tex]

what is 8536 divisible by

Answers

Answer: thank you

Step-by-step explanation:

The number 8,536 is divisible by 2, 4 and 8.

Answer:

2, 4 , 8  & 4273

Step-by-step explanation:

It is only divisible by 2 and 4273, the latter is prime number as well

Hope this helps

The diagram represents the factorization of a2 8a 12. A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12. What is the missing number that will complete the factorization? 6 8 12 24.

Answers

Using factorization, the missing factor is (a + 6) of the given quadratic equation  a² + 8a + 12 = 0.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

Given

The quadratic equation is a² + 8a + 12 = 0

The factor of the quadratic equation will be.

[tex]\begin{aligned}a^2 + 8a + 12 &=0 \\a^2 + 6a + 2a +12 &= 0\\(a+ 6)(a +2 ) &= 0\\\end{aligned}[/tex]

Thus, the missing factor is (a + 6).

More about the quadratic equation link is given below.

https://brainly.com/question/17177510

Answer:

6

Step-by-step explanation:

Which of the following expressions is equivalent to the expression bellow using exponents.
15 × 15 × 15 × 15 × 15 =

Answers

Answer:

[tex]15^5[/tex]

Step-by-step explanation:

15 × 15 × 15 × 15 × 15 = 15 times itself 5 times

15 times itself 5 times is equal to [tex]15^5[/tex]

The answer is [tex]15^5[/tex]

Hope this helps :)

Have a nice day!

Find the circumference of each circle. Use 3.14 for tt. Round to the nearest 1 point
hundredth, if necessary.


Answers

Area if a circle = 3.14r²

we know the diameter is 13
so the radius is half of that which is 6.5

then

(3.14)(6.5)² = 132.67 ft²

List the next four multiples of the fraction.


Thank You! ♡◇♧♤○□●■☆¤《》▪︎​

Answers

Answer:

2/6, 4/12, 6/18, 8/24, 10/30

Step-by-step explanation:

Multiply 2 by 2 each time for numerator

Multiply 6 by 2 each time for denominator

Hope this helps!

Find the perimeter of the rectangle

Answers

Answer:

6x^2 + 8x + 28

Step-by-step explanation:

2 times the length plus 2 times the width gives the perimeter

2(3x^2 + 3x + 6) + 2(x + 8)

6x^2 + 6x + 12 + 2x + 16

6x^2 + 8x + 28

Answer:

12x²+ 28

Step-by-step explanation:

Since to find the perimeter we need to add all the side lengths together. That would give us, 12x²+ 28.

I am learning about areas of regular polygons and I am using the equation A= 1/2 x a x p. a = apothem and p =perimeter. I have a diagram that is a triangle and the only thing i am given is one side of the triangle, the right side, it is 6. How would I find the apothem?

Answers

Can they be easier I don’t understand

I need help really bad help me pls

Answers

Answer: w= 13

Step-by-step explanation: 8+5 is 13

answer: 13
why: you have to add 8 to both sides so it would cancel out the -8 and add 8 to the five so you’ll get 13

HELP PLEASE ASAP. What is the area of the figure?

Answers

Answer:

24

Step-by-step explanation:

Yoko made $15,000 in taxable income last year. Suppose the income tax rate is 15% for the first $850Cplus 19% for the amount over $8500 How much must Yoko pay in income tax for last year?​

Answers

Answer:

$2510

Step-by-step explanation:

Amount of tax on $8500:

$8500*15/100 = $1275

Amount of income over $8500:

$15000 - $8500 = $6500

Amount of tax on $6500:

$6500*19/100 = $1235

Total tax is:

$1275 + $1235 = $2510

A circle has been dissected into 16 congruent sectors. The base of one sector is 1. 17 units, and its height is 2. 94 units. Using the area of a triangle formula, what is the approximate area of the circle? circle A is dissected into 16 congruent sectors, one sector is highlighted 27. 14 units2 27. 52 units2 48. 92 units2 76. 44 units2.

Answers

The area of a shape is the amount of space on the shape

The approximate area of the circle is 27.52 square units

How to determine the area of the circle

The given parameters are:

Sectors = 16

Base = 1.17 units

Height = 2.94 units

The area of the triangle is:

[tex]A_1 = 0.5 * Base * Height[/tex]

So, we have:

[tex]A_1 = 0.5 * 1.17 * 2.94[/tex]

[tex]A_1 = 1.7199[/tex]

The approximate area of the circle is then calculated as:

[tex]A_2 = 16 * A_1[/tex]

This gives

[tex]A_2 = 16 * 1.7199[/tex]

[tex]A_2 = 27.52[/tex]

Hence, the approximate area of the circle is 27.52 square units

Read more about areas at:

https://brainly.com/question/24487155

Answer:

27.52

Step-by-step explanation:

A = 1/2 bh

fill in the given information

A = 1/2 (1.17)(2.94)

multiply 1.17 and 2.94

A = 1/2 (3.4398)

Mutiply 3.4389 by 1/2 or divide 3.4398 by 2 (it is the same thing)

A = 1.7199

Now you have the area of one of the triangles, so you have to find the area of the whole circle or 16 triangles.

A = 1.7199 (16)

Mutpily

A = 27.5185

round to the nearest hunderth

A = 27.52

:)

Please help me with this math problem!! NO LINKS PLEASE!! I will give brainliest!!

Answers

The two tangent theorem

RS = RT

So ΔRST = isosceles triangle

∠S = ∠T =( 180° - (48°) : 2 = 66°

∠TSR = 66°


please help with this question ​

Answers

-12,-16

Is the answer

Answer:

-12,-16 is the answer for this graph

so if Johnny had 3×6 amount if dish soap. How much dish soap would he have?​

Answers

Answer:

18

Step-by-step explanation:

3x6=6x3=6+6+6=12+6=18

A shirt is sold for £87.50. If its original price was
£125, what is the % discount for the shirt?
%
Help please

Answers

Answer:

70%

Step-by-step explanation:

divided 125 by 100 you get 1.25 times that by 70 you get 87.5 wich is the same as 87.50

Pls answer, need to have it by Friday

Thank you

Answers

Answer:

Step-by-step explanation:

I'm pretty sure you are only meant to draw a rectangle of 34 I'm not sure tho.

I need help I tried and tried

Answers

Answer:

x + 3 = -5

Step-by-step explanation:

how would you find all the possible numbers of rows without having to check if 8 is a factor of every number between 70 and 150?

Answers

Answer:

You find it possible by to see that 8 is a factor to 70 and 150 is dividing 8 to both numbers.

Step-by-step explanation:

:D

Draw any line segment PQ Take any point R not on it. Through R, draw a
perpendicular to PQ. (Use ruler and set square).

Answers

Answer:

see image

Step-by-step explanation:

use a ruler and a "set square", a tool to make a neat 90° angle. See image.

Point R can be anywhere as long as it is not on PQ. PQ can be at any angle or any length. There are many, many ways to follow these directions. The idea maybe be to practice using the tools or the idea may be that for any segment and point not on the segment, there exists a way to drop a perpendicular from the point to the segment.

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