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Montano1993 [528]
3 years ago
6

The pic the pic this is it​

Mathematics
2 answers:
Delvig [45]3 years ago
8 0

Answer: mmmmmm Otae?

Step-by-step explanation:

Pachacha [2.7K]3 years ago
3 0

Answer:

yes I agree with you

Step-by-step explanation:

thanks for the free question

You might be interested in
Consider the transpose of Your matrix A, that is, the matrix whose first column is the first row of A, the second column is the
Zarrin [17]

Answer:The system could have no solution or n number of solution where n is the number of unknown in the n linear equations.

Step-by-step explanation:

To determine if solution exist or not, you test the equation for consistency.

A system is said to be consistent if the rank of a matrix (say B ) is equal to the rank of the matrix formed by adding the constant terms(in this case the zeros) as a third column to the matrix B.

Consider the following scenarios:

(1) For example:Given the matrix A=\left[\begin{array}{ccc}1&2\\3&4\end{array}\right], to transpose A, exchange rows with columns i.e take first column as first row and second column as second row as follows:

Let A transpose be B.

∵B=\left[\begin{array}{ccc}1&3\\2&4\end{array}\right]

the system Bx=0 can be represented in matrix form as:

\left[\begin{array}{ccc}1&3\\2&4\end{array}\right]\left[\begin{array}{ccc}x_{1} \\x_{2} \end{array}\right]=\left[\begin{array}{ccc}0\\0\end{array}\right] ................................eq(1)

Now, to determine the rank of B, we work the determinant of the maximum sub-square matrix of B. In this case, B is a 2 x 2 matrix, therefore, the maximum sub-square matrix of B is itself B. Hence,

|B|=(1*4)-(3*2)= 4-6 = -2 i.e, B is a non-singular matrix with rank of order (-2).

Again, adding the constant terms of equation 1(in this case zeros) as a third column to B, we have B_{0}:      

B_{0}=\left[\begin{array}{ccc}1&3&0\\4&2&0\end{array}\right]. The rank of B_{0} can be found by using the second column and third column pair as follows:

|B_{0}|=(3*0)-(0*2)=0 i.e, B_{0} is a singular matrix with rank of order 1.

Note: a matrix is singular if its determinant is = 0 and non-singular if it is \neq0.

Comparing the rank of both B and B_{0}, it is obvious that

Rank of B\neqRank of B_{0} since (-2)<1.

Therefore, we can conclude that equation(1) is <em>inconsistent and thus has no solution.     </em>

(2) If B=\left[\begin{array}{ccc}-4&5\\-8&10&\end{array}\right] is the transpose of matrix A=\left[\begin{array}{ccc}-4&-8\\5&10\end{array}\right], then

Then the equation Bx=0 is represented as:

\left[\begin{array}{ccc}-4&5\\-8&10&\end{array}\right]\left[\begin{array}{ccc}x_{1} \\x_{2} \end{array}\right]=\left[\begin{array}{ccc}0\\0\end{array}\right]..................................eq(2)

|B|= (-4*10)-(5*(-8))= -40+40 = 0  i.e B has a rank of order 1.

B_{0}=\left[\begin{array}{ccc}-4&5&0\\-8&10&0\end{array}\right],

|B_{0}|=(5*0)-(0*10)=0-0=0   i.e B_{0} has a rank of order 1.

we can therefor conclude that since

rank B=rank B_{0}=1,  equation(2) is <em>consistent</em> and has 2 solutions for the 2 unknown (X_{1} and X_{2}).

<u>Summary:</u>

  • Given an equation Bx=0, transform the set of linear equations into matrix form as shown in equations(1 and 2).
  • Determine the rank of both the coefficients matrix B and B_{0} which is formed by adding a column with the constant elements of the equation to the coefficient matrix.
  • If the rank of both matrix is same, then the equation is consistent and there exists n number of solutions(n is based on the number of unknown) but if they are not equal, then the equation is not consistent and there is no number of solution.
5 0
3 years ago
Calculate the pay for the following day of a
USPshnik [31]

Answer:  $122.50

<u>Step-by-step explanation:</u>

In          Out

8:00    12:00    = 4 hours

12:45    17:30   =<u> 4.75 hours   </u>

          Total        8.75 hours

8.75 hours x $14/hr = $122.50

Note: to subtract 12:45 from 17:30, borrow 1 hour from 17 and add 60 minutes to 30:

 17:30       →         16:90

- 12:45                -<u> 12:45 </u>

                            4: 45

4 hours 45 minutes = 4\frac{3}{4} = 4.75 hours

6 0
3 years ago
Which one is the right answer?
azamat

Answer:

D

Step-by-step explanation:

First of all, i mean A and B are out first thing because you don't have enough information to find out if it's true.

C is incorrect because as stated before, not enough information.

<u><em>However,</em></u>

You know that the angles 1-8 are all supplementary, which means that 1 and 2 can be added to make 180 degrees, as so can 3 and 4, 3 and 1. 2 and 4, blah blah blah.

In D, the angles that are being added are supplementary, because the three lines making up that weird figure is adjacent and is parallel to each other.

If you give one of the angles a degree, you know that 180-x with x being that degree, will equal the other angle on the other side of the lines.

Therefore its D.

Edit:

I just realized that theres an angle stated at the top of the screen. Still with that angle given, A and B is incorrect and the answer is still D.

3 0
3 years ago
Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for a total price of $52
ANEK [815]
5 tickets for adults and 3 for students.
7 0
3 years ago
7) 2x + y = 7<br> What is the intercept
posledela

Answer:

2x + y = 7

x=7/2

y=7

Step-by-step explanation:

to find y itercept =0

to find x intercept=0

5 0
3 years ago
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