A is a 3 times 3 matrix with three pivot positions.
(a) Does the equation Ax = 0 have a nontrivial solution?
(b) Does the equation Ax = b have at least one solution for every possible b?
(a) Does the equation Ax = 0 have a nontrivial solution? No Yes
(b) Does the equation Ax = b have at least one solution for every possible b? No Yes

Answers

Answer 1

Answer:

The following are the answer:

In option a  "No".

In option b  "Yes".

Step-by-step explanation:

In choice a:

Ax = 0 has no nontrivial solution. A would be the three-pivot matrix, it may assume, that the function has no free variable, and only if the function has had at least one free factor are their nontrivial formulas for the equations of the form Ax=0.  

It implies that since A is a 3x3 matrix, has no free variables so that it has no non-trivial choices, and Ax = 0.

In choice b:

we assume that every potential has at least one solution that is Ax=b . If A does have a three-pivot matrix, It will be a pivot element for each row and column, and for each possible b∈ R³, Ax = b has at least one solution.


Related Questions

Researchers measured the average blood alcohol concentration C(t) of eight men starting one hour after consumption of 30 mL of ethanol (corresponding to two alcoholic drinks). (Round your answers to two decimal places.) t (hours) 1.0 1.5 2.0 2.5 3.0 C(t) (mg/mL) 0.35 0.26 0.2 0.14 0.09 (a) Find the average change of C with respect to t over each time interval. (i) [1.0, 2.0] (ii) [1.5, 2.0] (iii) [2.0, 2.5] (iv) [2.0, 3.0]

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data below:

Time, t (hours)__1.0__1.5__2.0__2.5__3.0

C(t) (mg/mL)__0.35_0.26_0.20_0.14_0.09

Average change of C with respect to t over the interval :

(i) [1.0, 2.0] (ii) [1.5, 2.0] (iii) [2.0, 2.5] (iv) [2.0, 3.0]

Average change = ( change in C / change in t) = C2 - C1 / t2 - t1

1) [1.0, 2.0]

C at t = 1 = 0.35 ; C at t = 2 = 0.20

(0.20 - 0.35) / (2 - 1) = - 0.15 / 1 = - 0.15 mg/mL hr

11) [1.5, 2.0]

(0.20 - 0.26) / (2.0 - 1.5) = - 0.06 / 0.5 = - 0.12 mg/mL hr

111) [2.0, 2.5]

(0.14 - 0.20) / (2.5 - 2.0) = - 0.06 / 0.5 = - 0.12mg/mL hr

iv) [2.0, 3.0]

(0.09 - 0.20) / (3.0 - 2.0) = - 0.11 / 1.0 = - 0.11 mg/mL hr

A car depreciated $1000 each year it was owned and driven. What type of depreciation is this?
A. Straight-line depreciation

B. Flat depreciation

C. Curved-line depreciation

D. Accelerated depreciation ​

Answers

Answer:

A. Straight-line depreciation

For a car depreciated $1000 each year it was owned and driven, it shows ''Straight-line depreciation.''

Option A is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A car depreciated $1000 each year it was owned and driven.

Since, A car depreciated $1000 each year it was owned and driven.

Hence, It shows Straight-line depreciation.

Thus, For a car depreciated $1000 each year it was owned and driven, it shows ''Straight-line depreciation.''

Learn more about the mathematical expression visit:

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Which of the following math statements contains variables check all that apply A.3+6=x B.3+6=9 C. X+___=9 D.3+__=9
Answers
B.
D.

Answers

It is b because b is the most logical answer

slove for x 7x-22=4x+5

Answers

Answer: x = 9

Step-by-step explanation:

WILL GIVE BRAINLIST Someone solve number 4 for me really quick must show work

Answers

Answer:

1/3

Step-by-step explanation:

3 1/3 divided 10 = 1/3

What is 1.939 × 105 in standard form?

Answers

Hey there!

ANSWER: [tex]203.595[/tex]EXPLANATION:

[tex]1.939*105[/tex]

Multiply.

[tex]1.939*105=203.595\\203.595(ANSWER)[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

Answer:

193900

Step-by-step explanation:

usatestprep

3. find the distance of the line segment with the given end points (1, 6) and (4, 4)

Answers

Answer:

Therefore the lenght of line segment is :√13

Step-by-step explanation:

Refer to the attachment for your answer.

A rectangle with length of 9 centimeters and width of 5 centimeters. The perimeter of the rectangle is cm. If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions are . The perimeter of the new rectangle is ✔ 168 cm. When comparing the new perimeter to the original perimeter, the new perimeter is .

Answers

The perimeter of the new rectangle is 150 cm more than the original perimeter.

What is a rectangle?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle with a length of 9 centimeters and a width of 5 centimeters.

The perimeter of the rectangle will be

Perimeter = 2 (9 + 5)

Perimeter = 2(14)

Perimeter = 28

If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions will be

Length = 6 × 9 = 54 cm

Width = 6 × 5 = 30 cm

The perimeter of the new rectangle is 168 cm.

When comparing the new perimeter to the original perimeter, the new perimeter will be

→ New perimeter - original perimeter

→ 168 - 28

→ 150

The perimeter of the new rectangle is 150 cm more than the original perimeter.

More about the rectangle link is given below.

https://brainly.com/question/10046743

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Answer:

1. C
2. D
3. D
4. B

Step-by-step explanation:

−3 ( −3b + 5 ) + 9 ( 7b + 5

Answers

−3 ( −3b + 5 ) + 9 ( 7b + 5

= 6(12b+5)

Answer:

72b+30

Step-by-step explanation:

Assuming that the other parentheses is after the 5 and not after 7b:

-3(-3b+5)+9(7b+5)

9b-15+63b+45

72b+30


[tex] \sqrt{3969} [/tex]

Answers

Answer:

63

Step-by-step explanation:

The result of accounting root is a fortified number

63²= 3969

the answer is 63 luv :))

A rectangle is 3 times as long as it is wide. The perimeter is 24 feet. Find the dimensions.

Answers

Answer:

Width is 3 units, The Length is 9 units.

Step-by-step explanation:

Three times as much as 3, or 9, is how you find the lengths. This being- 3+3=6 and 9+9=18, 6+18=24, which is the perimeter, therefore 3 and 9 are the dimensions.

what is nearest tenth of 0.273

Answers

Answer:

0.3

To round 0.273 to the nearest tenth consider the hundredths’ value of 0.273, which is 7 and equal or more than 5. Therefore, the tenths value of 0.273 increases by 1 to 3.

0.273 rounded to the nearest tenth = 0.3

If f(x) = 2 - x, express 2f(a) + f(2a) in simplest form.

Answers

Answer:

6 - 4a

Step-by-step explanation:

From the question given,

f(x) = 2 - x

2f(a) + f(2a) =.?

First, we shall obtain f(a). This can be obtained as follow:

f(x) = 2 - x

x = a

f(a) = 2 - a

Next, we shall obtain 2f(a). This is can be obtained as follow:

f(a) = 2 - a

2f(a) = 2(2 - a)

2f(a) = 4 - 2a

Next, we shall obtain f(2a). This can be obtained as follow:

f(x) = 2 - x

x = 2a

f(2a) = 2 - 2a

Finally, we shall determine 2f(a) + f(2a) as follow:

2f(a) = 4 - 2a

f(2a) = 2 - 2a

2f(a) + f(2a) =?

2f(a) + f(2a) = (4 - 2a) + (2 - 2a)

2f(a) + f(2a) = 4 - 2a + 2 - 2a

2f(a) + f(2a) = 4 + 2 - 2a - 2a

2f(a) + f(2a) = 6 - 4a

Therefore, 2f(a) + f(2a) is equivalent to 6 - 4a

According to the text, the specific things that people want in life are called

Answers

Answer:

your going to have to be a little more specific than that please ;-; but if you want i can answer it this way

Reach a fabled level of success that makes you untouchable.

Create a positive work/life balance.

Feel as capable as others think you are.

Be more productive with each minute of the day.

Be recognized as talented or even brilliant.

People want dreams, goals, values and expectations in their life.

What is human life?

Life is the quality which people, animals, and plants have when they are not dead, and which objects and substances do not have

Given is a statement that asks about the specific things that people want in life.

The specific things that people want in life are dreams, goals, values and expectations.

Therefore, people want dreams, goals, values and expectations in their life.

To solve more questions on human life, visit the link below -

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If 1 gallon of paint covers 300 square feet, how many gallons
are needed for a room 30' long x 20' wide x 12' high?

Answers

Answer:

can we be friends

Step-by-step explanation:

solve this equation x−117=317

Answers

The answer is 434 !!

You can also solve this by doing 317-117= ?

Answer:

434

Step-by-step explanation:

Define same side interior

Answers

Answer:

two angles that are on the same side of the transversal and on the interior of (between) the two lines.

Step-by-step explanation:

BbhhhhhuskyNnnjhhhJndg.

Answers

.... What’s your question?

Find the sum of the first 80 terms of the sequence. Show all work for full credit. 1, -3, -7, -11, ...

Answers

Answer:

-12960

Step-by-step explanation:

The formula for the sum of terms =

Sn = n/2[2a + (n - 1) d]

n = number of terms = 80

The given sequence =

1, -3, -7, -11, ...

a = First term = 1

d = common difference

= Second term - First term

= -3 - 1

= -4

Therefore, the sum of the first 80 terms:

S80 = 80/2[2 × 1 + (80 - 1)]-4

= 40[2 + 79]-4

= 40 × 81 × -4

= -12960

The sum of the first 80 terms = -12960

write a number in which the value of the 8 is ten times greater than the value of the 8 in 8,304. I think it's 80,304. However, the 3 people who gave answers on this app gave 3 others answers, all different. How can I be sure which is correct?​

Answers

Answer: 80,304

Step-by-step explanation:

You are correct because in 8,304, the 8 is 8,000, and in 80,304, the 8 is 80,000.

8,000 x 10 = 80,000 so there you go. Also, the answer can be any 5 digit number with 8 as the ten thousands place(examples. 89,192, 83,026, 80,000)

Write 18/27 in simplest form

Answers

Answer:

Step-by-step explanation:

2/3

What is the common ratio for the sequence 54, 18, 6, 2, ...? -1/3 -3 1/3 3

Answers

Answer:

first term (a) = 54

Second term (b) = 18

common ratio = b/a = 18/54 = 1/3

Find the quotient.


3.6÷0.08

Answers

Answer:

45

Step-by-step explanation:

Good luck!

a line passes trough the point (1/2,2/3) and has a y intercept of 4. what is the slope of the line written as a fraction?​

Answers

Answer:

I believe the Slope is (m) =

ΔY

ΔX

= 1/1 = 1. The answer is 1/1 instead of 1.

Step-by-step explanation:

10X10 in exponent form?

Answers

Answer:

[tex] {10}^{2} [/tex]

Step-by-step explanation:

10^2
10 to the power of 2

Can somebody help me with this?​

Answers

Answer: x=2

Step-by-step explanation:

We can see that ∠RTU and ∠STR make up ∠STU. Therefore, we add them together and set it equal to 114°.

24x+34x-2=114                [combine like terms]

58x-2=114                         [add both sides by 2]

58x=116                            [divide both sides by 58]

x=2

Now, we know that x=2.

Which mathematical symbol would best fill in the blank to compare the two real numbers?√7_14/5

Answers

Answer:

√7 is less than 14/5

Step-by-step explanation:

√7 equals about 2.6

14/5 equals 2.8

5 (-3.5) + 4 3/4 - 3.25 divided by -4

Answers

Answer:

4

Step-by-step explanation:

What is the x value such that y=15 - 3x and y = 0

Answers

-3x+15=0
Add -15 both sides
-3x=-15
Divided by -3 both sides
x=-15/-3
x=5
the final answer is x=5

The circumstance of a circle is 36pi inches what is the radius for this circle

Answers

Circumference = 2pi*r

r = radius

In our problem,

circumference = 36pi

r = ?

Let's plug our values into the formula above.

36pi = 2pi * r

Divide both sides by 2pi

18 = r

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