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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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Wendy's mother recorded how many donuts she has eaten over the past few months. Jelly-filled donuts 6 maple donuts 53 glazed don
coldgirl [10]

Answer:

P(\text{Powdered sugar donut})=\dfrac{1}{15} .

Step-by-step explanation:

It is given that Wendy's mother recorded how many donuts she has eaten over the past few months.

Jelly-filled donuts = 6

Maple donuts = 53  

Glazed donuts = 11  

Powdered sugar donuts = 5

Now,

Total number of donuts = 6 + 53 + 11 + 5 = 75

We need to find the experimental probability that the next donut Wendy eats will be a powdered sugar donut.

P(\text{Powdered sugar donut})=\dfrac{\text{Powdered sugar donuts}}{\text{Total number of donuts}}

P(\text{Powdered sugar donut})=\dfrac{5}{75}

P(\text{Powdered sugar donut})=\dfrac{1}{15}

Therefore, P(\text{Powdered sugar donut})=\dfrac{1}{15}.

3 0
3 years ago
Peter's salary is twice Anne's salary and half of David's salary. Then the average salary of Anne and David is _ of Peter's sala
satela [25.4K]
<h3><u>Answer:</u></h3>

Average of salary of Anne and David is 1.25 of Peter's Salary

<h3><u>Explanation:</u></h3>

In the question, relations between salaries of Peter, Anne, and David is given. From the given relations, we need to make few equations and calculate the average of Anne and David in terms of Peter's Salary.

Let us assume Peter's Salary as P.

Then we can calculate Anne's salary A = \frac{P}{2}.

Also David's salary = D = 2 \times P

Average of Anne's and David's salary = \frac{A+D}{2}

Average of Anne's and David's salary  = \frac{\frac{P}{2} + 2 \times P}{2}

Average of Anne's and David's salary  = \frac{5 \times P}{4}

Average = 1.25 \times P

6 0
3 years ago
What is the area of this shape?
AlexFokin [52]

Answer: 10

Step-by-step explanation:

You times 4 and 5 then you divide in half because it is a triangle

5 0
3 years ago
Please help because I don’t know this please
jeka57 [31]

Answer:

39⇒3

52⇒4

130⇒10

Step-by-step explanation:

hope this helps have a nice day!!!

8 0
2 years ago
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To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the
Mars2501 [29]

Answer:

No.

Step-by-step explanation:

The function is any equivalence relation in which there is only one output for every input. This means that the domain must be exhausted in order to gain all the elements of the range and each element of domain gets mapped to only one of the elements of the range. Vertical line test is used to determine whether a graph is a function or not. This test requires that vertical lines parallel to y-axis and including y-axis be drawn on the graph to see that each vertical line intersects the graph only once. This must be true for all the elements of the domain. Therefore, vertical line test requires to draw numerous vertical lines other than the y-axis since the definition of the function requires that. In short, mathematically, there will be a need for infinite number of vertical lines to perform the test. Therefore, Shayla is not applying the vertical line test correctly!!!

8 0
3 years ago
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