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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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A cleaning company charges a fixed amount for a house call and a second amount for each room it cleans. The total cost to clean
yanalaym [24]

Answer:

$110

Step-by-step explanation:

Let the fixed amount charged be f and the amount charged to clean a room be r.

To clean six rooms , the company would charge the following, the fixed amount for the call plus the amount charged per room multiplied by 6 which of course is 6r.

Writing this in equation form,

f + 6r = 250

In likewise manner, same applies for 8 rooms.

this gives f + 8r = 320

We now have 2 equations that we will need to solve simultaneously

f + 6r = 250........(i)

f + 8r = 320........(ii)

We subtract equation ii from I to yield

2r = 70, hence r = 70/2 = 35.

We now substitute this in equation 1

f + 6(35) = 250

f + 210 = 250

f = 250 - 210 = 40

Hence, we now know that the amount charged per call is $40 while the amount charged to clean a room is $35.

We now calculate the amount charged by the company to clean 2 rooms.

This is mathematically = f + 2r

40 + 2(35) = $110.

6 0
3 years ago
A shopper buys 3 notebooks for $5 each. The percent sales tax is 8%. How much is the total sale?
Tamiku [17]

Answer:

$16.20

Step-by-step explanation:

3x5=15 15x.08=1.2 15+1.2=16.2

7 0
3 years ago
Read 2 more answers
What is the measure of angle 1?
S_A_V [24]

Answer:

44

Step-by-step explanation:

The angle subtends the arc with measure of 88 degrees, so it has to be 88/2 which is 44.

3 0
3 years ago
The volume of a cone is 88π cubic feet. Its height is 8 feet. Fatima is finding the radius of the cone. Her work is shown below.
Kisachek [45]
To evaluate the radius of the cone we proceed as follows:
V=1/3 πr²h
plugging in the values, v=88π, h=8 ft
step 1
88π1/3πr²(8)
step 2
88π=8/3πr²
step 3
 divide both sides by π
88=8/3r²
multiply both sides by 3/(8)
88(3/8)=r²
step 4
simplify
33=r²
step 5 
get the square root
r=√33

Thus the mistake that Fatima made was:
<span> In step 3, Fatima did not multiply 88 by the reciprocal of 8/3 </span>
9 0
2 years ago
Read 2 more answers
Ive got a F% in math help pls
zimovet [89]

Answer:

A F% isn't even a thing lol. But what do u need help with

Step-by-step explanation:

4 0
3 years ago
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