Which operations can be applied to a matrix in the process of Gauss-Jordan elimination?

replacing a row with twice that row
replacing a row with the sum of that row and another row
replacing a row with three times another row
swapping rows
replacing a row with the absolute values of that row

Answers

Answer 1

Operations that can be applied to a matrix in the process of Gauss-Jordan elimination are options 1,2 and 4.

What is gauss Jordan's elimination?

Gauss-Jordan Elimination is a matrix-based technique for solving linear equations or determining a matrix's inverse.

When using Gauss Jordan elimination, the following operations may be carried out on a matrix:

1. Replacing a row with twice that row

2. Replacing a row with the sum of that row and another row

3. Swapping row

The optional row(or column) procedures that can be employed are:

1. Alternate any two rows (or columns)

2. Scalar multiples of one row (column) are added or subtracted from another row (column) occurs when a row is substituted with the sum of another row and that row.

3. Multiply any row (or column) fully by a nonzero scalar, as seen below by substituting a row with two rows.

Hence, Gauss-Jordan elimination includes options 1,2, and 4.

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Related Questions

Convert 650 ml into litres

Answers

Answer:

.65 litres

Step-by-step explanation:

Find the volume of cone pictured below. Use 3.14
for T. Round your answer to the nearest
hundredth.
8 yd
8 yd

Answers

8 yards is the answer

!!!!! determine the function being differentiated, and the number at which its derivative is being evaluated. Where possible, evaluate the limits using differentiation.

Answers

Recall that the derivative of a function f(x) at a point x = c is given by

[tex]\displaystyle f'(c) = \lim_{x\to c} \frac{f(x) - f(c)}{x - c}[/tex]

By substituting h = x - c, we have the equivalent expression

[tex]\displaystyle f'(c) = \lim_{h\to0} \frac{f(c+h) - f(c)}h[/tex]

since if x approaches c, then h = x - c approaches c - c = 0.

The two given limits strongly resemble what we have here, so it's just a matter of identifying the f(x) and c.

For the first limit,

[tex]\displaystyle \lim_{h\to0} \frac{\sin\left(\frac\pi3 + h\right) - \frac{\sqrt3}2}h[/tex]

recall that sin(π/3) = √3/2. Then c = π/3 and f(x) = sin(x), and the limit is equal to the derivative of sin(x) at x = π/3. We have

[tex](\sin(x))' = \cos(x)[/tex]

and cos(π/3) = 1/2.

For the second limit,

[tex]\displaystyle \lim_{a\to0} \frac{e^{2a} - 1}a[/tex]

we observe that e²ˣ = 1 if x = 0. So this limit is the derivative of e²ˣ at x = 0. We have

[tex]\left(e^{2x}\right)' = e^{2x} (2x)' = 2e^{2x}[/tex]

and 2e⁰ = 2.

here is the histogram of a data distribution. All class widths are 1.
what is the median of the distribution?

Answers

The median of the data is 5 if the all class widths are 1, option (C) is correct.

What is the median?

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

In the histogram, 15 data values are given:

1, 2, 2, 3, 3, 3, 4, 5, 6, 6, 7, 7, 7, 8, 9

The mid-value is 5 which is on the 8th place

Thus, the median of the data is 5 if the all class widths are 1, option (C) is correct.

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Natalie wants to use a sheet of fiberboard 30 inches long to create a skateboard ramp with a 28 angle of elevation from the ground

Answers

Answer:

You should raise one side 14 inches

Step-by-step explanation:

I used a right angle triangle calculater at this sight

https://www.calculator.net/right-triangle-calculator.html

find the length and width of a rectangle whose
Length is 5cm longer than it’s width
Whose area is 50cm

Answers

Step-by-step explanation:

width= x (let)

length= x+5

Area=50 cm

Now ,

area = l ×b

50 = (X×X+5)

50 = (2X + 5)

50÷ 2= X+5

25 -5 = X

X=20

LENGTH = X+5

20+5

=25

Give the prime factorization of 28.

Answers

2x2x7 is the answer you want

The area of a rectangle is 44 square units. Its length measures 4 units. Find the length of its diagonal. Round to the nearest tenth of a unit.

Answers

Answer:

√(137)

Step-by-step explanation:

First, you will need to find the other side length.....then you can use the Pythagorean Theorem to find the diagonal:

L x W = 44

4 x W = 44

W =11

Now the Pythag, Theorem:

 diagonal^2 = 4^2 + 11^2

        d^2 = 16+121

         d^2 = 137

          d = √(137)

Answer:

about 11.7 units (Pls mark me as brainy)

Step-by-step explanation:

Find the width:

length⋅width=  area

4w=44    Plug in known values.

4w/4=44/4    Divide both sides by 4

w=11

Find the diagonal:

(4)^2+(11)^2=  c^2   Use the Pythagorean Theorem.

16+121=  c^2   Simplify.

137=c^2   Simplify.

±√137​= √c^2   Square root both sides.

11.704699...= c   Simplify. Ignore the negative root, as the length must be positive.

11.7≈ c     Round to the nearest tenth.

The length of the diagonal is 11.7 units.

Submit the answers to the checkpoint questions in the text box with the Lesson Review.
Part A Checkpoint
Directions: Complete each of the following questions.
(PICTURE FOR THE FIRST QUESTION)

1. Indicate the kind of energy represented in each example below:
a. Burning fuel in a car
b. Exploding an atomic bomb
c. Current moving in a wire
d. Tires sliding on pavement when brakes are applied
e. Football player running for a touchdown

2. All forms of energy except nuclear fission come from the _________.



3. Energy is ______________.

Answers

its that one dudee!!!!!

A biologist started with a population of 1,000 bacteria that doubled in size every day.
Which equation and graph show the number of days, d, as a function of the population
p, in thousands?

Answers

Answer: C. [tex]p = 2^{d}[/tex]

Step-by-step explanation:

The population rises exponentially, so the graph will have to go up. It also means the population is doubled directly in relation to days

Simplify −45(30x−40)+(42x+4) . Write your answer in factored form.

Answers

solution

-4(327x-451)

how do we solve this I need a quick answer please :)

Answers

Sorry don't no the answer

sorry if I kwon the answer

I telling u the answer

Answer: D ; 1,230

Explanation: Key word, boundary. Meaning its perimeter of the field. Find the perimeter then multiply by 3. inches

can anyone help? Need expert advice

Answers

Answer:

C (3,6)

Step-by-step explanation:

So the zeroes are the points that the loop goes through on the x-axis

so three and six

Help me calculate
I think it's 35, is that right?​

Answers

The value of the [tex]\rm 6x^5y^3[/tex] is 35 if the value of [tex]\rm 2x^2y = 5[/tex] and [tex]\rm 3x^3y^2 = 7[/tex]

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have:

[tex]\rm 2x^2y = 5\\\\\rm 3x^3y^2 = 7[/tex]

We have to find the value of [tex]\rm 6x^5y^3[/tex]

[tex]=\rm 6x^5y^3\\\\= \rm 6(x^2y)(x^3)(y^2)[/tex]

=6(5/2)(7/3)

= (5)(7)

= 35

Thus, the value of the [tex]\rm 6x^5y^3[/tex] is 35 if the value of [tex]\rm 2x^2y = 5[/tex] and [tex]\rm 3x^3y^2 = 7[/tex]

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A brand of cereal had 1.2 milligrams of iron per serving. Then they changed their recipe so they had 1.8 mg of iron per serving.

Answers

Using it's concept, it is found that the percent increase in the amount of iron per serving was of 50%.

What is the percentage increase of a value?

It is given by the increase divided by the initial value, and subtracted by 100%.

In this problem:

The initial value is of 1.2 mg.The increase was of 1.8 mg - 1.2 mg = 0.6 mg.

Hence the percent increase is given by:

P = 0.6/1.2 x 100% = 50%.

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help me plss ty in advance:))​

Answers

Answer:

AACBC7

Step-by-step explanation:

Q1

A graph which uses horizontal or vertical bars with no gaps to represent data is called bar graph.

Q2

Data plotted against the frequency in a histogram is class interval.

Q3

The data plotted against the frequency in an ogive is cumulative frequency.

Q4

A score of 50 under the column > c.f. with the boundaries 23.5 - 28.5 means 50 students got a score greater than 23.5.

Q5

Mean = 2(2) + 3 + 4 + 7(3) + 10 + 11 + 2(12) / 11

Mean = 4 + 7 + 21 + 21 + 24 / 11

Mean = 77/11

The mean is 7

Q6

The median is the middle term.

The median of the distribution is 7

HUGE POINTS
PLEASE ANSWER
BE INFORMATIVE AS POSSIBLE
Question:
A parallelogram fencing area is to be constructed for a general swimming pool area. The total perimeter of the parallelogram fence is 220m. If one of the lengths is 50m, determine the dimension of the other length and draw it out.

If you want more information let me know

Answers

Answer:

The other length is 60m.

Step-by-step explanation:

If you look at the shape of a parallelogram, you will see that a parallelogram has two parallel sides. So, if the total perimeter is 220m, then 50m and 50m together would be 100m, so 220- 100= 120m left to fill in both sides left. so, 120÷2= 60m. 60m is the other length.

The top four teams in a local tournament move onto the playoffs. if 7 teams enter the tournament how many different
combination of teams can make it to the playoffs?

Answers

Using the combination formula, it is found that 35 different combination of teams can make it to the playoffs.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 4 students are taken from a set of 7, hence the number of combinations is given by:

[tex]C_{7,4} = \frac{7!}{4!3!} = 35[/tex]

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i need help with the area only for 7 8 and 9

Answers

We will get the areas of each one of the given triangles:

7) A = 12.69 mm²

8) A = 19.21 in²

9) A = 16.81 yd²

How to get the area of the given triangles?

7) First, we have an equilateral triangle, where all the sides measure 5.4mm

For an equilateral triangle of side length S, the area is:

[tex]A = \frac{\sqrt{3} }{4}S^2[/tex]

In this case, S = 5.4 mm, replacing we get:

[tex]A = \frac{\sqrt{3} }{4}(5.4mm)^2 = 12.62 mm^2[/tex]

8) Now we have two equal sides and one different. The general area of a triangle of base B and height H is:

A = B*H/2.

In this case, the base measures 3.4 in.

To get the height, let's divide the triangle into two right triangles, such that one cathetus is 3.4in/2 = 1.7 in.

The hypotenuse measures 5.9 in

And the other cathetus is the height of the triangle.

Then, by using the Pythagorean theorem, we see that the height is:

[tex]H = \sqrt{(5.9 in)^2 - (1.7in)^2} = 5.65 in[/tex]

Then the area of this triangle is:

[tex]A = (3.4 in)*(5.65 in)/2 = 19.21 in^2[/tex]

9) Here the base measures 8.2 yds, and the height 4.1 yds, so the area is just:

[tex]A = (4.1 yd)*(8.2 yd)/2 = 16.81 yd^2[/tex]

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Please help me 35 points and Brainliest if your right

Answers

Answer:

y = - 2 | x - 2 | + 4

Step-by-step explanation:

the general equation of an absolute value function is

y = a|x - h| + k

where (h, k ) are the coordinates of the vertex and a is the stretch factor

here (h, k ) = (2, 4 ) , then

y = - 2|x - 2| + 4

Answer:

See below ~

Step-by-step explanation:

Formula for absolute value function :

y = a |x - h| + k

==============================================================

Given :

⇒ a = -2

⇒ Vertex = (h, k) = (2, 4) [based on graph]

=============================================================

Solving by substitution :

y = -2|x - 2| + 4

The formula for converting C to F is C =
5(F-32)
9
where F is the temperature in °F and C is the temperature in °C.
Find F when C= 28°.

Answers

Answer:

f=82.4

Step-by-step explanation:

f=9c/5+32

f=9x28/5+32

f=252/5+32

f=50.4+32

f=82.4

through: (-3, 4), slope
1
4

Answers

Answer:

y = (-1/4)x + (13/4)

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

Remember that in a point (-3,4) you have an "x" and "y" value. As such, you have been given values for the "x", "y", and "m" variables. Therefore, you can plug these values into the general structure to find the value of "b".

y = mx + b                              <---- General structure

y = (-1/4)x + b                         <---- Plug (-1/4) in "m"

4 = (-1/4)(-3) + b                      <---- Plug in values from point

4 = (13/4) + b                          <---- Multiply (-1/4) and -3

(13/4) = b                               <---- Subtract (13/4) from both sides

Now that you know the value of "m" and "b", you can determine the formula.

y = (-1/4)x + (13/4)

Please only 5 and 6 that all i need help with is area

Answers

Answer:

5) 22.95

6) 21.93

Step-by-step explanation:

Area of Triangle = BxH/2

= CxH/2

The correct answer is B

State the various transformations applied to the base function f(x)=|x| to obtain a graph of the function g(x) = |x| − 2.

Horizontal shift of 1 unit to the right and a vertical shift upward of 2 units.


Horizontal shift of 1 unit to the right and a vertical shift downward of 2 units.


Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.


Horizontal shift of 1 unit to the left and a vertical shift upward of 2 units.

Answers

Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.

Transformation of function

Transformation technique is a way of changing the position of an object on an xy-plane.

Given the parent function of a modulus function f(x) = |x|, the graph of the function g(x) = |x| - 2 shows a vertical translation of the parent function down by 2 units.

The resulting graph of the translated function is as shown below

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the sum of two consecutive integers is 65. what are the two integers? show steps please.

Answers

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the two integers, given that they are consecutive, and their sum is 65.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.

Let the first integer be x, and let the second integer be x+1.

Their sum is 65. Let's set up our equation:

[tex]\longmapsto\sf{x+x+1=65}[/tex]

Combine like terms:

[tex]\longmapsto\sf{2x+1=65}[/tex]

Subtract 1 from both sides of the equal sign:

[tex]\longmapsto\sf{2x=64}[/tex]

Divide both sides by 2:

[tex]\longmapsto\sf{x=32}[/tex]

To find the second integer, subtract the first integer from the sum of the two integers:

[tex]\longmapsto\pmb{65-32}[/tex]

[tex]\longmapsto\pmb{33}[/tex]

The integers are: 33 and 32.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

Please i really need help!

Answers

Answer:

21.25=4.25

Ms. Diaz buys 5 pounds of strawberrys

Step-by-step explanation:

Factorize the following perfectly:
1) 9x^4-16y^439
2) 64x^4+y^4

Answers

Answer:

neither can be factored any further but if it is (9x^4) - (16y^4) it can be factored down to ((3x^2)+(4y^2)) ((3x^2)+(4y^2))

Step-by-step explanation:

A 6-inch personal pizza has 570 calories. Determine the number of calories in the 14-inch pizza. Round your answer to the nearest calorie.

Answers

Answer:

  3103 calories

Step-by-step explanation:

We presume the number of calories is proportional to the area of the pizza. The ratio of areas is the square of the ratio of the linear dimensions, so the number calories in the larger pizza is ...

  (14/6)² × 570 calories = 3103 1/3 calories

There are about 3103 calories in the 14-inch pizza.

Khamisi and Harut wrote down two different functions that have the same rate of change. Khamisi's function is represented by the table shown below. x y -1 -5 1 -1 3 3 Write an equation, in slope intercept form, that could be Harut's function.

Answers

The equation of line is x+2y+3=0.

What is a equation of the line?

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y.

Given:

x:-1  -5  1

y:-1  3  3

So,

m= 3-1/-5-(-1)

m= 2/-4

m=-1/2

Now, equation of line

(y-(-1))= m (x-(-1))

y+1= -1/2(x+1)

2y+2=-x-1

x+2y+3=0

Hence, the equation of line is x+2y+3=0.

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1. Using the above
scatterplot, does there
seem to be a positive
correlation, a negative
or no
correlation,
correlation between
the number of
customers and sales?

Answers

Answer:

yes there is a correlation

Step-by-step explanation:

here's how I found this by looking up all key words.

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