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SIZIF [17.4K]
3 years ago
14

let Ax=b be any consistent system of linear equations, and let x1 be a fixed solution. show that every solution to the system ca

n be written in the form x=x1+x0, where x0 is a solution to Ax=0. show that every matrix of this form is a solution.
Mathematics
1 answer:
sweet [91]3 years ago
6 0
<span>There is a close relationship between the solutions to a linear system and the solutions to the corresponding homogeneous system:
 

Ax=b and Ax+0
 
Specifically, if x1 is any specific solution to the linear system Ax = b, then the entire solution set can be described as
     
x1 + x0 : x0 is any solution to Ax=0
 
Geometrically, this says that the solution set for Ax = b is a translation of the solution set for Ax = 0. Specifically, the flat for the first system can be obtained by translating the linear subspace for the homogeneous system by the vector x1.
 
This reasoning only applies if the system Ax = b has at least one solution. This occurs if and only if the vector b lies in the image of the linear transformation A.</span>
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When a farmer harvests apples he expects 6% of the apples to be rotten how many apples would the farmer expect to be rotting whe
guapka [62]

The question is incomplete had the number of harvested apples isn't given.

Answer:

0.06n

Step-by-step explanation:

When a farmer harvests apples he expects 6% of the apples to be rotten how many apples would the farmer expect to be rotting when harvesting apples

The expected percentage of rotten apples when harvesting = 6%

The expected number of rotten apples can be obtained by taking the product of the expected percentage and the number of apples to be harvested.

Since the number of harvested apples isn't given,

Let the number of harvested apples = n

Therefore, the expected number of rotten apples will be :

6% * n

0.06n

Note : you can easily substitute the actual number of harvested apples for n in the equto get the actual answer

8 0
2 years ago
What is the name the special hat worn during Mardi Gras?
PilotLPTM [1.2K]
Hello!!

I believe the correct answer to your question is capuchon. These are cone shaped ceremonial hats worn durning Mardi Gras.

Hope I helped with a detailed description. Have a nice night!
~Brooke❤️
3 0
3 years ago
Find the length of CD shown in red below. Show all work.
PIT_PIT [208]

By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.

<h3>How to calculate the length of an arc</h3>

The figure presents a circle, the arc of a circle (s), in inches, is equal to the product of the <em>central</em> angle (θ), in radians, and the radius (r), in inches. Please notice that a complete circle has a central angle of 360°.

If we know that θ = 52π/180 and r = 6 inches, then the length of the arc CD is:

s = [(360π/180) - (52π/180)] · (6 in)

s ≈ 32.254 in

By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.

<h3>Remark</h3>

The statement has typing mistakes, correct form is shown below:

<em>Find the length of the arc EF shown in red below. Show all the work.</em>

To learn more on arcs: brainly.com/question/16765779

#SPJ1

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2 years ago
Two sides of a triangle have lengths 11 and 18. What must be true about the length of the third side
Anit [1.1K]
It can either be equivalent to 11 or 18.
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3 years ago
Solve the equation 9=m-4
Vedmedyk [2.9K]

9=m-4

9+4=m

13=m

9=13-4

9=9

I hope this answer helped you!!! Thank you!!!

4 0
3 years ago
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