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Murrr4er [49]
3 years ago
7

Suppose that we try to solve the matrix equation AX = B by using an inverse matrix, but find that even though the matrix A is a

square matrix, it has no inverse. What can be said about the outcome from solving the associated system of linear equations by the Gauss-Jordan method?
Mathematics
1 answer:
Tanzania [10]3 years ago
7 0

Answer:

  The system will be found to be inconsistent or dependent.

Step-by-step explanation:

The matrix A will have no inverse for two different reasons:

  1. The system is inconsistent
  2. The system is dependent

In the latter case, the Gauss-Jordan method will find a set of parametric equations for a solution. In the former case, there is no solution.

The outcome will depend on the reason why there is no inverse.

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Use slopes to determine if the lines y= -x/3- 9 and 6x – 2y = -5 are perpendicular.
WARRIOR [948]

Answer:

They are perpendicular.

Step-by-step explanation:

When we convert the equation 6x-2y=-5 into y=mx+b form, it changes into y=3x-5/2. Since we know that perpendicular slopes are opposite reciprocal, the opposite reciprocal of -x/3 is 3. So, we know that these 2 slopes are perpendicular.

8 0
4 years ago
The table shows the results of a survey on people’s favorite fruit. What percent of the people chose strawberry as their favorit
Sphinxa [80]

<u><em>Answer:</em></u>

24.2%

<u><em>Explanation:</em></u>

<u>The percentage of people choosing strawberry can be calculated as follows:</u>

Percentage = \frac{PeopleChoosingStrawberry}{TotalNumberOfSurveyedPeople} * 100

<u>We have:</u>

Number of people choosing strawberry = 15 people

Total number of surveyed people = 17 + 10 + 17 + 3 + 15 = 62 people

<u>Substitute in the above rule to get the percentage as follows:</u>

Percentage = \frac{15}{62}*100 = 24.19 = 24.2%

Hope this helps :)

3 0
3 years ago
On the 1st of January 2014, Carol invested some money in a bank account. The account pays 2.5% compound interest per year. On th
cluponka [151]
She started with x.
After 1 year, she had 1.025x.
She withdrew <span>£1000, so now she has 1.025x - 1000.
Then it earned interest for 1 year and ended up as </span>1.025(1.025x - 1000).
The actual amount of money was £23 517.60.
Therefore,

<span>1.025(1.025x - 1000) = 23517.60

1.025x - 1000 = 22 944

1.025x = 23 944

x = 23 360

Her original deposit was </span><span>£23 360</span>
5 0
3 years ago
The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in the ratio is 10, what is the second num
krek1111 [17]

Answer:

10:40

Step-by-step explanation:

7 0
3 years ago
There are 340 freshman at BHSS. This is one hundred less than two times the number of sophomores. Find the number of sophomores
natta225 [31]
To put it into an equation, it would be:

340 = 2x - 100

with x being the amount of sophomores at BHSS.

Solve it:

340 + 100 = 2x

2x = 440

x = 220

The number of sophomores at BHSS is 220.




5 0
3 years ago
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