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
monitta
3 years ago
9

Suppose a coefficient matrix for a system has pivot columns. Is the system​ consistent? Why or why​ not? Choose the correct answ

er below. A. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have columns and will not have a row of the form ​, so the system is consistent. B. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have columns and will not have a row of the form ​, so the system is consistent. C. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented​ matrix, which will have ​columns, could have a row of the form ​, so the system could be inconsistent. D. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented​ matrix, which will have ​columns, must have a row of the form ​, so the system is inconsistent.
Mathematics
1 answer:
WINSTONCH [101]3 years ago
4 0

Answer:

A. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have columns and will not have a row of the form ​, so the system is consistent.

Step-by-step explanation:

Based on Godel's second incompleteness theorem, a system is considered consistent only when the far-right column of the augmented matrix is not a pivot column.

However, given that every column of the coefficient matrix is a pivot column, then there are no top coefficients in the far-right column of the augmented matrix.

Hence, there is a pivot position in each row of the coefficient matrix. The augmented matrix will have columns and will not have a row of the form ​, so the system is consistent.

You might be interested in
find the volume of the cylinder with the same radius and double the height when the radius is 5 and the height is 2​
Lostsunrise [7]

Answer:

100pi

Step-by-step explanation:

pi5^5=25pi

2*2=4

25pi*4=100pi

8 0
2 years ago
At the carnival, 3 rides on the MoonCoaster cost $21. How much<br> do 5 rides cost?
Bogdan [553]

Answer:

$35 dollars

Step-by-step explanation:

So we know that 3 rides costs $21. If you then take 21/3 you get 7, you're then going to take 7x5 and you will get 35. Therefore 5 rides on the MoonCoaster cost $35. Hope this helps!

4 0
3 years ago
Read 2 more answers
Can a Scalene triangle be a isosceles triangle?<br><br> A: Always<br> B: Never<br> C: Sometimes
arsen [322]
A scalene triangle can never be an isosceles triangle. How? Well, let's take a look at the definition of a scalene triangle. In short, a scalene triangle is a classification of a triangle that does not have any congruent sides. On the other hand, an isosceles triangle is a triangle in which its legs are both congruent. Therefore, if a scalene triangle has two congruent legs, it wouldn't even be a scalene triangle, but instead it would be an isosceles triangle. Hope this helped!
3 0
3 years ago
Someone please Help me it’s due soon !!!! Use steps please
Leviafan [203]

Answer:

4/3 or 1 1/3

Step-by-step explanation:

cube root of 64 = 4

cube root of 27 is 3

4/3 or 1 1/3

4 0
3 years ago
Read 2 more answers
Please help it’s for home work
pantera1 [17]
The slope is 6 because x/y or rise/run and in x equal +1 which is positive 1 and y equal +6 which is positive 6... then you divide y by x which will be 6 divided 1 or 6/1 and that’s how it’s 6 :)
7 0
3 years ago
Other questions:
  • Please help answer correctly will mark brainliest
    9·2 answers
  • The measures of two vertical angles are represented by (4x - 7) and (2x - 13). What is the sum of the two angles measures?
    5·1 answer
  • Big box brand computers have 1/4
    9·1 answer
  • I need help with this pleasee
    12·1 answer
  • Someone plz answer this plz do not use the internet
    13·2 answers
  • A wooden fence 6 ft. high and 300 ft. long is to be painted. How many gallons of paint are needed if one gallon covers 400 sq. f
    5·1 answer
  • I need the answer ASAP
    12·1 answer
  • Guys please help me this is due tonight thanks
    15·1 answer
  • Write each expression using exponents:<br> 4*4*4*4*4
    9·1 answer
  • The area of the rectangle below is greater than or equal to 18.13 square units. The inequality 3.7w ≥ 18.13 represents this
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!