History Of Cramer s Rule

History Of Cramer s Rule

What is the cramers rules and the examples....?

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1. What is the cramers rules and the examples....?


In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution. ... Cramer's rule implemented in a naïve way is computationally inefficient for systems of more than two or three equations.


2. What is cramers rules and the example


In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution. ... Cramer's rule implemented in a naïve way is computationally inefficient for systems of more than two or three equations.


3. cramers rules 4x -9=2, 5x+3y=-26​


Answer:

4x-9=2

4x=11

4 4

x = 2.75 or 2 3/4

check:

4(2.75) -9 =2

11-9=2 ✓

no.2

5x+3y=-269


4. solve the linear system below by cramers rule2x - 2y + z = 0x + 5y - 7z = 3x - y - 3z = -7


Your given matrix can be written as:
[tex] \left[\begin{array}{ccc}2&-2&1\\1&5&-7\\1&-1&-1\end{array}\right] \left[\begin{array}{ccc}x\\y\\x\end{array}\right] = \left[\begin{array}{ccc}0\\3\\-7\end{array}\right][/tex]

which we can interpret as Ax=B


In Cramer's rule, to get the value of a variable, first we will take the determinant (A) of the original matrix. Then, we will substitute the values of B on the column representing the variable and take its determinant (A1). 

You can solve for the determinant by multiplying the diagonals with a right-downward direction and add them to the diagonals to the left-downward direction. (Sorry, I can't explain it in words. If you're having troubles with that, you can consult your textbooks or the internet for further explanation.) The determinant (A) is -18.

Then, we will replace the values on the column representing the variable by B. Since I'm not good at words, I'm just gonna show you how it works.


In getting x, the matrix will be:

[tex] \left[\begin{array}{ccc}0&-2&1\\3&5&-7\\-7&-1&-1\end{array}\right] [/tex]

Did you notice that the values on the first column were replaced by the values of B? That is what I meant. 

The determinant (A1)  for the matrix is 54. 

Therefore, we will do [tex] \frac{A1}{A} [/tex]

=[tex] \frac{54}{-18} [/tex]
=-3

Thus, x=-3.

Do this with y and z. 
If you're still having trouble, don't hesitate to message me.




5. -8x +2z = 1 6y +4z -3 = 012x + 2y = 2method of elimination.method of substitution.gaussian of elimination.gauss-jordan of elimination.inverse application method.Cramer's rule.​


Answer:

Use a scientific calculator it will help you


6. the man in the ticket booth was Mr. Cramer​


Answer:

Ano po bang question dito


7. . During the old days, there were three reasons why ancient people traveled. What are these reasons? *1 pointA. Poverty, war, and pandemicB. Danger, hunger, and bad weatherC. Tourism, festivals, and religious gatheringsD. All of the above2. A person who takes tourists around the places of interest, on foot (walkabout tour or walking tour) or on the bus (running or rolling tour.1 pointA. TouristB. TourismC. Tour guideD. Excursionist3. It is comprised of activities of persons traveling to and staying in places outside of their usual environment for not more than one consecutive year for leisure, business, and other purposes. *1 pointA. TouristB. ExcursionistC. TourismD. Travel agency4. One very common theory used in the study of motivations *1 pointA. Abraham Maslow’s Heirarchy of NeedsB. Abraham Lincoln Heirarchy of NeedsC. Araham Mahathir Heirarchy of NeedsD. Abraham Masheer Heirarchy of Needs5. This refers to one who specializes in some areas such as arts, architecture, churches, flora and fauna, mountains, etc. *1 pointA. Step-on GuideB. Local GuideC. Specialized GuideD. Specialist Guide6. This refers to a tour guide and driver at the same time. Performs guiding works while driving. *1 pointA. City GuideB. Driver GuideC. DocentsD. On-site Guide7. This refers to an expert on natural attractions such as caves, lakes, rivers, mountains, seascapes, etc. *1 pointA. Tour EscortB. Naturalist GuideC. Staff GuideD. Freelance Guide8. This refers to the one who is permanently connected with a tour/travel agency and paid per day or monthly basis. *1 pointA. Indigenous GuideB. Cruise Ship GuideC. Staff GuideD. Docents9. His one of the largest and fastest growing global industries, creating significant employment and economic development, particularly in many developing countries. *1 pointA. Tour agencyB. TourismC. Travel agentD. UNWTO10. He founded the first inclusive tours with his use of a chartered train in 1841 to transport tourists from Loughborough to Leicester.1 pointA. Thomas BrownB. Thomas CraneC. Thomas CookD. Thomas Cramer​


Answer:

1.D

2.C

3.B

4.C

5.A

Explanation:

hope it helps


8. (Use Cramer's Rule to solve the problem.) a chemist has one solution which is 50% acid and another solution which is 25% acid. how much each should be mixed to make 10 liters of a 40% acid solution?in a competitive examination, one mark is awarded for every correct answer 1/4 mark is deducted for every wrong answer. a student answered 100 questions and got 80 marks. how many questions did he answer correctly?​


Answer:

sasagutan koyan pa branlist muna po

Step-by-step explanation:

saka pa haert narin po


9. DETERMINANTSAnswer each equation briefly but completely.1) Evaluate the determinant of each of the following matrices using Laplace Expansion, together with some of the properties of determinants.[tex]A=\left[\begin{array}{cccc}\;\;\;4&\;\;\;5&-3&-2\\\;\;\;2&-3&\;\;\;2&\;\;\;5\\-1&\;\;\;3&\;\;\;2&-2\\\;\;\;1&\;\;\;6&-1&-3\end{array}\right][/tex][tex]B=\left[\begin{array}{cccc}\;\;\;3&\;\;\;2&-5&\;\;\;4\\-5&\;\;\;2&\;\;\;8&-5\\-2&\;\;\;4&\;\;\;1&-3\\\;\;\;1&-3&\;\;\;2&\;\;\;8\end{array}\right][/tex][tex]C=\left[\begin{array}{cccc}\;\;\;5&\;\;\;4&\;\;\;2&\;\;\;1\\\;\;\;2&\;\;\;3&\;\;\;1&-2\\-5&-7&-3&\;\;\;9\\\;\;\;1&-2&-1&\;\;\;4\end{array}\right][/tex]2) Find [tex]x[/tex] for each matrix for which the determinant of each matrix is zero.[tex]A=\left[\begin{array}{ccc}1&2&5\\1&x&5\\3&-1&2\end{array}\right]\quad\quad B=\left[\begin{array}{ccc}1&2&-3\\1&x&-3\\1&4&-x\end{array}\right][/tex]3) Given that:[tex]A=\left[\begin{array}{ccc}1&2&4\\3&1&7\\2&4&1\end{array}\right][/tex]Verify that:a) [tex]|A^{-1}|=1\div |A|[/tex]b) [tex]|A^2|=|A|^2[/tex]c) [tex]A(\text{adj }A)=|A|I[/tex]4) Given that [tex]A[/tex] is invertible, find the inverse of each matrix using classical adjoints.[tex]A=\left[\begin{array}{ccc}2&-1&2\\1&3&2\\1&5&-2\end{array}\right]\quad\quad B=\left[\begin{array}{ccc}2&3&-4\\0&-4&2\\1&-1&5\end{array}\right][/tex]Use the Cramer’s Rule to solve the following.5) A tourist has a collection of 33 coins consisting of Belgian francs (2 cents each), British shillings (14cents), and German marks (25 cents each). The total value of the collection is $6.33. He has three times as many marks as shillings. How many coins of each kind has he?6) Mark invested a total of ₱33000.00 in three parts: the first at 5%, the second at 6%, and the third at 8%. His profit at the end of the year was ₱2230. Had he interchanged the rates of the first and the third parts, he would have received ₱270.00 less. How much did he invest at each rate?7) A mix is to be made from the foods indicated as follows:[tex]\hspace{50}\textsf{Carbohydrates}\quad\textsf{Protein}\quad\quad\textsf{Fat}\\\textsf{Food 1}\hspace{20}50\%\hspace{52}20\%\hspace{31}10\%\\\textsf{Food 2}\hspace{20}80\%\hspace{52}10\%\hspace{31}2\%\\\textsf{Food 3}\hspace{20}68\%\hspace{52}12\%\hspace{31}3\%[/tex]How much of each food is needed in order that the mix contains 1212 grams of carbohydrates, 238 grams of protein and 77 grams of fat?8) A man spent ₱1500.00 for one pair of socks, one shirt and one pair of slacks. He found that twice the cost of a pair of socks less three times the cost of the shirt plus thrice the cost of the pair of slacks would have resulted in his spending only ₱800.00. He also observed that thrice the cost of a pair of socks less the cost of the shirt plus twice the cost of the slacks would cost him ₱1300.00. What is the cost of each clothing?9) Brine containing 40% salt is diluted by adding pure water, resulting in a 25% salt solution. Then 20 more gallons of pure water are added, diluting the mixture to a 20% salt solution. Find how much brine there was originally and how many gallons of water were added the first time.10) The sum of the digits of a three-place number is 14. If the digits are reversed and the resulting number is added to the original, the sum is 1171. If the resulting number is subtracted from the original number, the difference is 693. What is the original number?


See the attached PDF.


10. Cramers rules find the answer of 4x-y+2z=0 2x+y+z=3 3x-y+z=-2


   4x -y + 2z   =   0                /E 1
    3x -y + z    =   2               / E 2
    2x + y +z   =   3               / E 3
      x -2y + 0   = -1               / E 4         /  using  E2 & E3
      
      4x  -y + 2z  =     0
      4x +2y+ 2z =      6         /   multiply   E3 by 2
           -3y        =     -6       y  = 2
   
      x -4  =  -1                     x  = 3    /  substitute     y = 2  in  E 4
       4*3 -2 + 2z  =  0    /substitute in  E 1
        12 - 2 + 2z  = 0
                     z  =  - 5
   answer :    x = 3,   y = 2,    &   z = -5
           


11. Grade 9 students will be having a field demo. In their performance, they need 3 sets of costume for their Mascara Festival theme. The sum of each set of costume is Php 420. In Section A their total cost is Php 3710, 6 students for costume set A, 6 students for costume B and 13 students for costume C. In section B with 25 students, their total cost is Php 3390, 10 students for costume set A, 8 students for costume B, and the rest is for costume set C. Find the amount of each set of costume. use Cramer's rule


Answer: Sana makatulong sayo

12. members of association ( nominal correlation: cramer's v and lambda)​


Cramer's V and Lambda are both measures of association used to analyze the relationship between two categorical variables.

Cramer's V is used when both variables have more than two categories and is based on chi-square statistics. It ranges from 0 to 1, where 0 indicates no association and 1 indicates a perfect association.

Lambda, on the other hand, is used when one variable is considered independent and the other is dependent. It ranges from 0 to 1, where 0 indicates no association and 1 indicates a perfect association. Lambda only takes into account the marginal distributions of the two variables, unlike Cramer's V, which considers their joint distribution.

In the case of analyzing the relationship between two nominal variables such as members of an association, either Cramer's V or Lambda can be used, depending on the research question and the nature of the variables being analyzed.
I hope this helps


13. Use Cramers Rule to solve the unknowns. = 13 2x-3y + 2z 3x + y -2=2 3x - 4y - 32 = 1Find the value of x,y, and z?​


Answer:

2431

Step-by-step explanation:

same time you get off work


14. Find the solutions of the systems of linear equation using Cramer's rule. -3x - y = -11 4x - 3y = 6


1.) -3x - y = -11

Answer:

Equation for x :

x = 11 - y

---------

3

Equation for y :

y = 11 - 3x

2.) 4x - 3y = 6

Answer:

Equation for x :

x = 3 3

--- + --- y

2 4

Equation for y :

y = 4

-2 + --- x

3

(Hope this helps you.)


15. TopicK (What I Know) W (What I Want to L (What i Learned)Know)Example: Kendra is About her reaction of She helped a lot inthe first daughter of their new house their earnings sinceDoug and Cheskathey are vloggers andCramershe was very happy tohave their new homeThe purpose of the author19​


Answer:

21

Explanation:

9/10/21

Answer:

hi

kilala mo po ba si irish or si john poul

pls po need ko po sila mahanap


16. 1.)This is my assignmemt: this is cramers solutiom so help me this: show your solution to help me this assignment thank you.X-3y +7z=13X+y+z=1X-2y+3z=42.) This is a equation solution show me your solution for this my friend thank you:x-y+2z=13x+2y+7z=8-3x-4y+9z=-10


you have to use the basket method..

17. 1. Fill in the necessary information and Use Cramer's Rule to solve the system. 2 + 3y = 5; – 2x + 4y = 0


Answer:

1.x(2) +9x = -8

x(2) +9x+8= -8+8

x(2)+9x +8=0

(x+1) (x+8) =0

x+1=0|x+8=0

x=-d (x+8) =0

x+1=0|x+8=0

x=-1. -dsyst=-81.x(2) +9x = -8

x(2) +9x+8= -8+8

x(2)+9x +8=0

(x+1) (x+8) =0

wtwt

x+1=0|x+8=0

x=-1. |x=-81.x(2) +9x = -8

x(2) +9x+8= -8+8

x(2)+9x +8=0

(x+1) (x+8) =0whatbisbqidb

x+1=0|x+8=0

x=-1. |x=-81.x(2) +9x = -8

x(2) +9x+8= -8+8

x(2)+9x +8=0

(x+1) (x+8) =0

x+1=0|x+8=0

x=-1. |x=-81.x(2) +9x = -8

x(2) +9336+8= -8+8

x(2)+9x +8=0

(x+1) (x+8) =0

x+1=0|x+8=0

x=-1. |x=-81.x(2) +9x = -8

x(2) +938+8= -8+8

x(2)+9x +8=0

(x+1) (x+8) =0

x+1=0|x+8=0

x=-1.373 |x=-0

x+1) (x+8) =0

x+1=0|*+8=0

x=-1. |x=-81.x(2) +9x = -8

x(2+8= -8+7

x(2)+9x +8=0

(x+1(x+8) =0

x+1=0|x+8=0

x=-1. |x=-8


18. solve the linear system below by cramers rulex +2y + 3z = - 53x + y - 32 = 4-3x +4y + 72 = -7


3× + y - 32 = 4 ang sagot?

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