1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jolli1 [7]
3 years ago
13

6) (after 2.3) Consider the infinite system of linear equations in two variables given by ax + by = 0 where (a, b) moves along t

he unit circle in the plane. (a) How many solutions does this system have? (b) What is the smallest number of equations in the above system that have the same solution set? Write down two separate such linear systems, in vector form. (c) What happens to the infinite linear system if you add the equation 0x + 0y = 0 to it? (d) What happens to the infinite linear system if by accident one of the equations was recorded as ax + by = 0.00001? Explain all your answers in words.
Mathematics
1 answer:
Paraphin [41]3 years ago
6 0

Answer:

Step-by-step explanation:

Given infinite system of linear equations is ax + by = 0

when (a,b) moves along unit circle in plane.

a) system having unique system (0, 0)

Since two of equation in thus system will be

1.x+0.y=0\\x=0

and

0.x+1.y=0\\y=0

It is clear that x = 0, y= 0 is the only solution

b) Linear independent solution in this system gives some set of solutions

1.x+0.y=0\\\x=0

and

0.x+1.y=0\\y=0

Vector form is

\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] =I

c) for this equation if add 0x +0y = 0 to system , Nothing will change

Because [0,0] satisfies that equation

d) If one of the equation is ax + by = 0.00001

where 0.00001 is small positive number

so, the system will be inconsistent

Therefore, the system will have no solution.

You might be interested in
Please help me with this question
Alenkasestr [34]

Answer:

\sqrt{8 + y}

3 0
3 years ago
Can sommeone help solve equation
Alekssandra [29.7K]

Step-by-step explanation:

3x + 10 < 3

3x + 7 < 0

3x < -7

x < -7/3 = -2.3333...

or

2x - 5 >= 5

2x >= 10

x >= 5

x < -7/3 or x >= 5

4 0
3 years ago
What is the slope between the points (3,1) and (4,1)
castortr0y [4]

The answer is 0.........

8 0
3 years ago
Read 2 more answers
You have 1,000,000 number cubes, each measuring one inch on a side. if you layered the cubes to make one big cube what would be
azamat

Answer:

100 x 100 x 100 number cubes

Step-by-step explanation:

It's basically a volume problem.  The question is asking if you made a big cube filled with smaller cubes , specifically 1,000,000 of them, what are the dimensions of this big cube.  Or in other words the volume is 1,000,000.  Now how do we find the volume of a cube?  length times width times height, and witht he cubes each of those are the same so we can call them all x.

Now we just set up the equation where we have the equation whatever one side is times itself  three times, (or x cubed) it will equal 1,000,000 or x^3=1,000,000,000.  Now you just take the cube root of 1,000,000 which gets us 100.  so the length, width and height are 100 small cubes.

3 0
3 years ago
PLS HELP DUE SOON.....
melisa1 [442]

Answer: For a translation, you need a distance and a direction.

For a rotation, you need a point that is the center of the rotation and the degree (and sometimes direction) of rotation.

For reflection you need the axis or a defined line that the triangle is reflected across.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • X^2 - 19x + 90 = 0 Factor and solve
    5·1 answer
  • PLZ PLZ PLZ HELP #13 WILL GIVE BRAINLIEST
    11·1 answer
  • F(x) = (x + 1)(x - 3)(x - 4)
    5·2 answers
  • Simplest form of (36^)1/3
    10·1 answer
  • In a bag of apples, the ratio of red apples to green apples is 3:4. If the bag contains 60 red apples, how many green apples are
    15·1 answer
  • -4p+6r-10p+3r simplified?
    7·1 answer
  • The graph of y = –2x + 11 is:
    6·1 answer
  • WILL MARK BRAINLIEST Match the graph with it's corresponding slope type.
    14·1 answer
  • Can someone answer this please
    12·2 answers
  • From the set {-252, -64, 64}, use substitution to determine which value of x makes the equation true.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!