Questions on Algebra: Matrices, determinant, Cramer rule answered by real tutors!

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Question 634104: After the private screening of a new television pilot, audience members were asked to rate the new show on a scale of 1 to 10 (10 being the highest rating). From a group of 140 people, the following responses were obtained.
Rating 1 2 3 4 5 6 7 8 9 10
Frequency of
Occurrence 4 4 3 6 17 20 22 24 11 29
Let the random variable X denote the rating given to the show by a randomly chosen audience member. Find the probability distribution associated with these data.
Rating 1 2 3 4 5 6 7 8 9 10
P(X = x)

Click here to see answer by ewatrrr(10682) About Me 

Question 634329: please help.
every time i tried the equation in my calculator it never worked.
question: the average number of MP3 players sold weekly at three different stores is given by the matrix. the selling price for the ipod is 240.00, the nano sells for 199.00 and the zen sells for 99.00. use the matrix multiplication to find revenue for each store.
ipod nano zen
circuitcity 50 75 80
bestbuy 45 79 63
target 58 67 98

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Question 635954: how to solve a 5by5 matrix?
Click here to see answer by jim_thompson5910(28705) About Me 

Question 636091: using x,y,and z as variables write the system for linear equations
[9,1,0,8,|6]
[-1,5,1,0|-12]
[7,0,0,3|-9]
[0,4,0,-4|8]

Click here to see answer by jim_thompson5910(28705) About Me 

Question 636097: Evaluate the determinate
|-9,-7|
|4,5|

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Question 636095: write the augmented matrix for the following system of equations
7x+4y+5z=62
5x+3y+2z=47
3x+7y+8z=63

Click here to see answer by jim_thompson5910(28705) About Me 

Question 636099: write the augmented matrix for the following system of equations
x-7y+z=15
y+6z=14
z=11

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Question 636094: write the system of linear equations represented by the following augmented matrix
[9,4,5|-2]
[5,0,9|4]
[8,5,0|2]

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Question 636121: write the augmented matrix for the following system of equations:
2x+7z=64
8y+6z=40
3x-2y+4z=46

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Question 636123: use Cramer's rule to solve the given system:
2x+2y=32
2x-3y=-3

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Question 636122: solve the following system of equations using matrices:
x+y+z=-9
x-y+5z=-19
5x+y+z=-29

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Question 636414: Solve: If A= [2 3] and B = [0 -2], find AB.
[1 4] [1 5]
the 1 and 4 are under 2 and 3, the 1 and 5 are under 0 and -2.

Click here to see answer by jim_thompson5910(28705) About Me 

Question 636648: Solve using matrices. If the system has no solution, say that it is inconsistent.
2x+y+z=5
4x-y-3z=1
8x+y-z=5

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Question 637361: 2xa-3xb=1.313
4xb-3xc=1.906
xa-xc=3.784
use cramer's rule to determine the value of Xa, Xb and Xc

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Question 638757: Evaluate the determinate in the matrix.
|7 9|
|-2 -5|

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Question 639488: Good day
If i have the following matrices :
A=
x^2 +4, log1
a+2 , b
and
B=
4, y
3a-1, -1
To get A=B
the unknowns must assume the following values
A. x = -2 , y = 0 , a = - 3/2 , b = -1
B. x = +2 , y = 0 , a = 3/2 , b = -1
C. x = 0 , y = 0 , a = 3/2 , b = -1
D. x = ±2 , y = 1 , a = -3/2 , b = 1

Thanks

Click here to see answer by lynnlo(4169) About Me 

Question 640341: hello sir, can you tell me, how we know that which Row(column) operation should we
use in the first step of determinant when we are solving it....i am asking it because you know determinant has many ways to solve.
for ex: Let A be a determinant.
|29 26 22|
A = |25 31 27|
|63 54 46|
it has many ways to solve, some give exact answer and some wrong answer.
then how we know which operation we have to apply??
kindly reply fast.

Click here to see answer by Edwin McCravy(8999) About Me 

Question 640503: (5z-19)^0
Click here to see answer by jim_thompson5910(28705) About Me 

Question 640638: 3/x-4/y+6/z=1
9/x+8/y-12/z=3
9/x-4/y+12/=4
solve for D, Dx, Dy, Dz and x, y, z
tnx..xD

Click here to see answer by jim_thompson5910(28705) About Me 

Question 641673: simplify - 6x-9y/-3

Click here to see answer by lynnlo(4169) About Me 

Question 642950: Can someone help with 6x + y = 19 and 5x = 2y = 31 solved via Gauss - Jordan Method? Im stuck at
[1 * *
0 * * ]

Click here to see answer by solver91311(17077) About Me 

Question 643644: which of the following inequality signs would make a true statement if ti replaced the question mark in the following equation 3-5?-3
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Question 643649: Slove the inequality -4y+6 <-14
A. y>2 B. Y<5 c. Y< 5 d. Y>5

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Question 643660: Use matrices to help find a general solution for this system of equations.
2x − y + 3z = 5
–x + 4y + 4z = –1

Click here to see answer by Edwin McCravy(8999) About Me 

Question 643158: How do you find the determinant of a 3x4 matrix?
Click here to see answer by jsmallt9(3296) About Me 

Question 645725: how would you write an equation for this problem and solve it?
9.) two investments were made totaling $8800. for a certain year these investments yielded $1326 in simple interest. part of the $8800 was invested at 14% and part at 16%. find the amount invested at each rate.

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Question 647250: how to find out the rank of the matrix.
0 1 2 -2
4 0 2 6
2 1 3 1

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Question 647295: solve the following set of simultaneous equation by using Gaussian Elimination method :
1/x + 2/y - 1/z = 1
2/x + 4/y - 1/z = 5
3/x + 2/y - 2/z = 0

Click here to see answer by Alan3354(31513) About Me 

Question 647353: A bag contain 3 types of coins namely $1, $2, $5. There are 30 coins
amounting to $100 in total. There are twice as many $2 coins as $1
coins. Find the number of coins in each category using Cramer's rule.

Click here to see answer by Edwin McCravy(8999) About Me 

Question 647382: Which of the following represents a way to solve the system for x using Cramer's rule?
2x – y = 4
–5x + 3y = 3

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Question 647443: if you were to use gauss-jordan elimination on the following linear system, what would the augmented matrix be?
3w-x=2y+z-4
9x-y+z=10
4w+3y-z=7
12x+17=2y-z+6



Click here to see answer by Aaniya(63) About Me 
Question 647443: if you were to use gauss-jordan elimination on the following linear system, what would the augmented matrix be?
3w-x=2y+z-4
9x-y+z=10
4w+3y-z=7
12x+17=2y-z+6



Click here to see answer by MathLover1(6810) About Me 

Question 647552: Solve using matrices
4x+y=12
3x+2y=2

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Question 647556: Solve using Cramer's rule
3x+4y=-1
5x-2y=4

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Question 647606: please tell me how you use cramers rule ?
use cramers rule to solve the linear system.
-x-2y+4z=-28
x+y+2z=-11
2x+y-3z=30
please show steps

Click here to see answer by jim_thompson5910(28705) About Me 

Question 647649: calculate the co-factor of the element 2:
1 2 3
3 4 5
5 6 7

Click here to see answer by Edwin McCravy(8999) About Me 

Question 647927: how do you solve this system of equations:
3a-2b+7c=13
a+8b-6c=-47
7a-9b-9c=-3

Click here to see answer by MathLover1(6810) About Me 

Question 647926: how do you solve this system of equations:
2x-3y+z=5
x+3y+8z=22
3x-y+2z=12

Click here to see answer by jim_thompson5910(28705) About Me 

Question 650408: 3z is greater than 6 and z equals 3
Click here to see answer by Alan3354(31513) About Me 

Question 650573: how would you write an equation for this problem and solve it:
the sum of three numbers is 5. the first number minus the second plus the third is 1. the first minus the third is 3 more than the second. find the numbers

Click here to see answer by stanbon(57960) About Me 
Question 650573: how would you write an equation for this problem and solve it:
the sum of three numbers is 5. the first number minus the second plus the third is 1. the first minus the third is 3 more than the second. find the numbers

Click here to see answer by MathTherapy(1480) About Me 

Question 651012: = 7 2(4)-11how would i determine whether (2,4,1) is a solution of the following system.
2x-4+z=-11
x+y=6
2y-z=7

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Question 651018: how do i determine whether (1,-5,10) is a solution of the following system.
x+y+z=6
3x-y-z=-2
2x-y+4z=37

Click here to see answer by Alan3354(31513) About Me 
Question 651018: how do i determine whether (1,-5,10) is a solution of the following system.
x+y+z=6
3x-y-z=-2
2x-y+4z=37

Click here to see answer by MathLover1(6810) About Me 

Question 651020: how would i solve these systems
-x+y+z=4
-x+2y-3z=-6
2x-4y+8z=18

Click here to see answer by Alan3354(31513) About Me 

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