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

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Question 151063: please find: B times C
please show step by step
B=
5 2 1
1 -3 -1
1 2 4
C=
-3
1
2

Click here to see answer by Fombitz(2113) About Me 

Question 151250: How to figure row of operations on augmented matrix to determine whether the system is independent, dependent, or inconsistent.
x+y+z=11
x-y=3z=15
2x=2y+2z=15

Click here to see answer by stanbon(26270) About Me 

Question 151249: Please assistance in solving equation for x.
, , ,

Click here to see answer by Edwin McCravy(2922) About Me 

Question 151324: I am lost with this assignment, HELP! I do not understand hwo these are answered!
4. A group of students decides to sell pizzas to help raise money for their senior class trip. They sold pepperoni for $12, sausage for $10, and cheese for $8. At the end of their sales the class sold a total of 600 pizzas and made $5900. The students sold 175 more cheese pizzas than sausage pizzas. Set up a system of three equations and three unknowns, use an augmented matrix to solve, and show all work to receive full credit.
A. What are the three unknowns?

B. Write a separate equation representing each of the first three sentences.



C. Determine the augmented matrix that represents the three equations.




D. Solve for the matrix. Show all work to receive full credit.


E. How many of each type of pizza were sold?

Click here to see answer by stanbon(26270) About Me 
Question 151324: I am lost with this assignment, HELP! I do not understand hwo these are answered!
4. A group of students decides to sell pizzas to help raise money for their senior class trip. They sold pepperoni for $12, sausage for $10, and cheese for $8. At the end of their sales the class sold a total of 600 pizzas and made $5900. The students sold 175 more cheese pizzas than sausage pizzas. Set up a system of three equations and three unknowns, use an augmented matrix to solve, and show all work to receive full credit.
A. What are the three unknowns?

B. Write a separate equation representing each of the first three sentences.



C. Determine the augmented matrix that represents the three equations.




D. Solve for the matrix. Show all work to receive full credit.


E. How many of each type of pizza were sold?

Click here to see answer by jim_thompson5910(13787) About Me 

Question 151524: Solve the system & identify it as consistent, inconsistent or dependent.
{ 4x+y=8
4x+5y=-8 }
a) (3,-4); consistent/dependent
b) {(3,-4) l 4x+y=8}; consistent/dependent
c) 0; inconsistent
d) (3,-4); consistent/independent

Click here to see answer by jim_thompson5910(13787) About Me 

Question 151526: Solve the system of inequalities by graphing the solution region:
{ x+2y<_ 3
2x-3y<_6 }

Click here to see answer by jim_thompson5910(13787) About Me 

Question 151583: Could you please help me solve this system of equations by using A^-1?
x+5y+5z=-7
x+4y+5z=-5
x+5y+4z=-5

Click here to see answer by Edwin McCravy(2922) About Me 

Question 151584: Could you please guide me on solving this system of equations by using Cramer's Rule for the solution set?
7x+3y=10
-2x+2y=40

Click here to see answer by jim_thompson5910(13787) About Me 

Question 151668: could someone please help me solve this equations using Cramer's rule for three variables? I am just not getting past the point of transforming them into the three different matices.
x-2y=17
2y+z=10
-x+z=-2

Click here to see answer by Edwin McCravy(2922) About Me 

Question 151666: I am trying to find the dual problem for the following question...
Maximize z= 8X1 + 3X2 + X3
Subject to : 7X1 + 6X2 + 8X3 (less than or equal to) 18
4X1 + 5X2 + 10X3 (less than or equal to) 20
with X1 (great than or equal to) 0 , X2 (greater than or equal to) 0 , X3 (greater than or equal to) 0

Click here to see answer by kev82(145) About Me 

Question 151777: Can someone please help me solve this linear system in three variables?
x-3y=11
5y+z=4
-x+z=2
{(?,?,?)}

Click here to see answer by scott8148(3382) About Me 

Question 151880: Could I please have some assistance with solving this system of linear equations in three variables using Cramer's rule?
x-2y=17
3y+z=3
-x+z=3
{(?,?,?)}

Click here to see answer by nabla(412) About Me 

Question 151878: Could someone please help me with this word problem? I can't get past the point of the inverse matrix.
A local sorority sold hotdogs and bratwursts at the spring fling picnic. The first day they sold 8 dozen hotdogs and 13 dozen bratwursts for 339.60. The second day they sold 10 dozen hotdogs and 15 dozen bratwursts for a total of 402.00. How much did each cost?
Each hotdog sold for $?
Each bratwurst sold for $?

Click here to see answer by checkley77(7049) About Me 

Question 152176: write the system of linear equations represented by the augmented matrix. Use x,y,z and if necessary w,x,y,z for the variables.
|4 1 5 1| 6|
|1 -1 0 -1| 8|
|3 0 0 7| 4|
|0 0 11 5| 3|

Click here to see answer by Edwin McCravy(2922) About Me 

Question 152215: use cramers rule or to determine that the system is inconsistent or contains dependent equations:
y=-4x+2
2x=3y+8

Click here to see answer by nabla(412) About Me 

Question 152209: solve the system using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination:
w+x+y+z=5
w+2x-y-2z=-1
w-3x-3y-z=-1
2w-x+2y-z=-2

Click here to see answer by nabla(412) About Me 

Question 152218:
evaluate the determinant: 

| 1  -3   2   0|
|-3  -1   0  -2|
| 2   1   3   1|
| 2   0  -2   0|

Click here to see answer by Edwin McCravy(2922) About Me 

Question 152205:
Write the system of linear equations, use x,y,z and if necessary w,x,y,z.
Once system is written, use back-substitution to find its solution: 

|1  2 -1  0 |  2|
|0  1  1 -2 | -3|
|0  0  1 -1 | -2|
|0  0  0  1 |  3|

Click here to see answer by Edwin McCravy(2922) About Me 

Question 152813: Use cramer's rule or to determine that the system is inconsistent or contains dependent equations:
3=7y+1
2x=3y-1

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Question 152812: use cramers rule or to determine that the system is inconsistent or contains dependent equations:

x-2y=5
5x-y=-2

Click here to see answer by oscargut(682) About Me 

Question 153215: Create a "2 by 3" matrices
Directions
1. add them together 2. subtract them 3. multiply them by the scalar 4. I set up the problem below, but having trouble solving it. please help me. due tomorrow!!!!!!!!!
4 {3,4,5,2,11,6}

Click here to see answer by Fombitz(2113) About Me 

Question 153430This question is from textbook Advanced Mathematical Concepts
: I need help in completing the problem. I need help on starting the problem after I set it up as an augmented matrix. It would be great if I could get it step-by-step: 2x+6y+8z=5; -2x+9y-12z=-1; 4x+6y-4z=3. Thanks a lot!This question is from textbook Advanced Mathematical Concepts

Click here to see answer by stanbon(26270) About Me 
Question 153430This question is from textbook Advanced Mathematical Concepts
: I need help in completing the problem. I need help on starting the problem after I set it up as an augmented matrix. It would be great if I could get it step-by-step: 2x+6y+8z=5; -2x+9y-12z=-1; 4x+6y-4z=3. Thanks a lot!This question is from textbook Advanced Mathematical Concepts

Click here to see answer by Edwin McCravy(2922) About Me 

Question 153838This question is from textbook algebra 2
: Trying to help my daughter...I do not understand what they mean by take the inverse...I know how to set up the matrixThis question is from textbook algebra 2

Click here to see answer by scott8148(3382) About Me 

Question 153909: Solve matrix equation for x: 3x+A=B
Help, don't understand how to do this one. Can anyone show me step by step how to do this?

Click here to see answer by Fombitz(2113) About Me 

Question 154259: Help evaluate the determinate? Please explain everything so I can comprehend this...please.

|1 -3 2 0|
|-3 -1 0 -2|
|2 1 3 1|
|2 0 -2 0

Click here to see answer by Edwin McCravy(2922) About Me 
Question 154259: Help evaluate the determinate? Please explain everything so I can comprehend this...please.

|1 -3 2 0|
|-3 -1 0 -2|
|2 1 3 1|
|2 0 -2 0

Click here to see answer by Alan3354(6079) About Me 

Question 155400: Find the solution to the system using Gaussin Elimination Method:
2x + 2y + 4z = 40
0x - 2y + 2z = 12
2x + 3y + 3z = 34
answers are real, whole numbers.

Click here to see answer by Edwin McCravy(2922) About Me 

Question 155403: A dietician is planning a meal of beef, rice and carrots. The meal must contain 96.3g of carbs, 50.0g of protein, and 22.8g of fat. Using the nutrition information below, use the Gaussian elimination method to determine how many grams of beef, rice, and carrots, the meal must contain in order to meet the dietician's requirements.
CARBS PROTEIN FAT
beef 1 22 12
rice 25 2 0
carrots 8 1 0

I wrote the following equations:
1b + 25r + 8c = 96.3
22b + 2r + 1c = 50
12b = 22.8
I then used b=1.9, but got the wrong answer.

Click here to see answer by Edwin McCravy(2922) About Me 

Question 155949:
I am completely lost on how to solve augmented matrices. 
If you could show me step by step how to solve the 
following equation it would be great.  

3x + 4y = 11
 x + 3y = 2
 
I know you have to break it down like this 

[ 3 4 11]
[ 1 3  2]

After this however I am  lost.

Click here to see answer by Edwin McCravy(2922) About Me 

Question 156059: If A is a 3 × 4 matrix, B is a 3 × 4 matrix, and C is a 3 × 4 matrix, then A + B - C =
a. a 9 × 12 matrix
b. a 3 × 4 matrix
c. a 27 × 64 matrix
d. impossible, you cannot add or subtract matrices

Click here to see answer by orca(409) About Me 

Question 156060: Let A and B be 2 × 2 matrices. Let [ 2 3 ] and [ -4 5 ] be the first and second rows of A, respectively. Let [ 2 3 ] and [ -4 5 ] be the first and second columns of B, respectively. If C = AB, then | C | =
a. 484
b. 452
c. 582
d. -724

Click here to see answer by Fombitz(2113) About Me 

Question 156057: Let A and B be 2 × 2 matrices. Let [ 2 3 ] and [ -4 5 ] be the first and second rows of A, respectively. Let [ 2 3 ] and [ -4 5 ] be the first and second columns of B, respectively. If C = AB, then the element c(sub 22) =
a. 41
b. 7
c. 11
d..21

Click here to see answer by oscargut(682) About Me 

Question 156048: Let H and E be 2 × 2 matrices. Let [ 4 3 ] and [ 2 0 ] be the first and second rows of A, respectively; [ 3 6 ] and [ 2 3 ] be the first and second rows of B, respectively. If D = H + E, then the d 11 element of D -1 is =
a. 2/9
b. 0
c. It does not exist
d. You cannot find the inverse of a matrix

Click here to see answer by Fombitz(2113) About Me 

Question 156061: If A is a 5 × 5 matrix, then AI^-1 =
a. A^-1
b. I
c. A
d. A^-1 I

Click here to see answer by dave41082(4) About Me 

Question 156047: If A is a 3 × 4 matrix, B is a 4 × 12 matrix, and C is a 12 × 2 matrix, then CBA is:
a. 13,824
b. a 3 × 4 × 12 matrix
c. a 3 × 2 matrix
d. none of the above, these matrices do not match up

Click here to see answer by jim_thompson5910(13787) About Me 

Question 156056: You have been performing Gaussian Elimination, and now you have all of the lower
triangle elements with value 0. What are you ready to do? I think the answer is c, but I want to make sure

a. Nothing, you are done with Gaussian Elimination
b. Start with forwards elimination
c. Start backwards elimination
d. Start over; you are supposed to have all zeroes in the upper triangle

Click here to see answer by jim_thompson5910(13787) About Me 

Question 156397: Solve the following matrix
[1 1 700]
[20 25 15]
[ 1 0 5]
I am dumbfounded on how to solve this.

Click here to see answer by stanbon(26270) About Me 

Question 156396: Solve the following matrix
[ 2 8 22 ]
[ 4 1 14 ]
I think you need to multiply the top by negative 2 and then subtract from the bottom. but I am confused from there.

Click here to see answer by Edwin McCravy(2922) About Me 

Question 156589: . A total of 700 tickets were sold for a musical. Senior citizen tickets sold for $15, children tickets sold for $20, and adult tickets sold for $25; the total earnings from ticket sales was $15,750. Five times more children tickets were sold than senior citizen tickets. How many tickets of each type were sold? Set up a system of three equations and three unknowns, use an augmented matrix to solve
I have most of the matrix figured out Here is what I got
[ 1 1 1 700 ]
[ 4 5 3 3,140 ] divided by 5
[ 0 5
I am struggling with the bottom half of the matrix. Specifically what numbers do I put in the last two columns. I am also struggling solving the matrix. Thanks for any help.

Click here to see answer by scott8148(3382) About Me 

Question 156745: 2x-2y=15
4x+4y=10
Help, I need to solve for x and y

Click here to see answer by Earlsdon(4900) About Me 
Question 156745: 2x-2y=15
4x+4y=10
Help, I need to solve for x and y

Click here to see answer by Electrified_Levi(103) About Me 

Question 156805: Please help me solve this problem: A boat goes downstream a distance of 5 miles in 15 minutes, but it takes 20 minutes for the return trip. Find the right of the boat in still water and the rate of the current.
Click here to see answer by nerdybill(2446) About Me 

Question 156820: I still can't get how to answer this question:
If a girl works for 8 minutes and her brother works for 15 minutes, they can wash the front windows of their house. Also, if the girl works for 12 minutes and her brother works for 10 minutes, they can wash the same windows. How long will it take each person alone to wash windows? (Hint: if it takes t minutes for a person to do a job alone, then in 1 minute, the person can do 1/t of the job.)

Click here to see answer by ankor@dixie-net.com(6693) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900