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

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Tutors Answer Your Questions about Matrices-and-determiminant (FREE)


Question 157298: -6 -2 * -1 4
0 3 -5 3

Click here to see answer by jim_thompson5910(13794) About Me 

Question 157544: x-4y+5z=-4
2x+y-7z=-23
-4x+5y+2z==38
Write the linear system as a matrix equation.

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

Question 157757This question is from textbook Precalculus
: Provide an example of a matrix that has no solution. Use row operations to show why it has no unique solution. Also, some matrices have more than one solution (in fact, an infinite number of solutions) because the system is undetermined. (In other words, there are not enough constraints to provide a unique solution.) Provide an example of such a matrix, and show, using row operations, why it is underdetermined.
This question is from textbook Precalculus

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Question 158048This question is from textbook
: [1 2 5 | -2]
[5 0 -3 | 8]
[2 -1 0 | 0] ALL OF THESE ARE OE BRACKET
Write the system of equations corresponding to the given augmented matrix.
This question is from textbook

Click here to see answer by jim_thompson5910(13794) About Me 

Question 158789This question is from textbook algebra 2
: hello, thanks for helping me.....i'm on chapter 4.2 and i can't figure out how to multiply the matrices. I need to know the order in which i can multiply each row and column.
[5 3] [4 2 -1]
[0 1] [0 1 3]
This question is from textbook algebra 2

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

Question 158796This question is from textbook Advanced Mathematical Concepts
: The perimeter of a triangle is 83 inches. The longest side is three times the length of the shortest side and 17 inches more than one-half the sum of the other two sides. Use a system of equations to find the length of each side. I don't really understand this and I asked some people to help, but they couldn't get it either. Please help me... Thanks!This question is from textbook Advanced Mathematical Concepts

Click here to see answer by checkley77(7072) About Me 

Question 160634: Grain worth 65 cents per pound was mixed with grain worth 90 cents per pound to produce 20 pounds of a mixture worth 80 cents per pound. Find how many pounds of each was used
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Question 160683: How do you multiply these matrices?


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Question 160733This question is from textbook algebra 2
: i do not under stand matrices at all if you can explain to me step by step in the simplest way you possibly you can i would love for you to thank you and god blessThis question is from textbook algebra 2

Click here to see answer by elima(1433) About Me 

Question 161176This question is from textbook saxon algebra 2
: Determine whether the product of matrices A and B is defined. If so, give the
dimensions of the product matrix.
Matrix A: 6 x 2
Matrix B: 2 x 4
This question is from textbook saxon algebra 2

Click here to see answer by schrammbledeggs(41) About Me 

Question 161324: What is a value of a where vektors are (2,0,a), (1,a,1) and (2,1,a) make basis for R^3?
Click here to see answer by Fombitz(2113) About Me 

Question 161407: Please help. No book. This is a worksheet.
EVALUATE h(-2/3) if h(x)= [x-2]

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Question 161620This question is from textbook Primer of Linear Algebra
: Let A represent a matrix.
Show that if A^3 - 7A^2 + 5In = 0 then A^4 = 49A^2 - 5A - 35In
This question is from textbook Primer of Linear Algebra

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Question 160840: what is 18 squared to 15 squared (18= b and 15 = a) what is c?
Click here to see answer by Alan3354(6092) About Me 

Question 160610: [ 8 10 -17]
[-5 -2 11]
[16 9 15]


[-4 20 4]
[-5 5 -15]
[-17 -7 -1]


I need to find the product of the two matrices. I know they look a little funny,im not sure how to get them set up right. The first one is a (3X3) and the second a (3x3), so i know it is defined, and the product is able to be found. I can do addiction,but im completly confused by multiplication. Id love to see the step and the correct answer. I really appericate your help!

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

Question 161857: Calculate the area of the triangle with the following vertices:

(-3, -3), (0, -3), (1, 1)
4 sq units
12 sq units
6 sq units
15 sq units
9 sq units
2 sq units
This is multiply choice, and the possible answers are above as you can see. I have tried everything I can think of to come across the correct answer, but im so confused. I would really apperciate someone explaining how to get the correct answer and what the answer is. Thank you so much!

Click here to see answer by Earlsdon(4900) About Me 

Question 162093: I am completely lost on this worksheet and have no book. Please help.
Find the value of the discriminant for 9x^2+1=6x. Then describe the number and type of roots for the equation.
Thanks

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Question 162222: Our teacher didn't explain much about using Cramer rule with fractions so im at a lost at this equation.


{(2/3)x + (1/5)y = 3
{(3/2)x + (5/3)y = (2/3)


If it makes it any easier, our teacher said we can also use subtitution and elimination method.

Click here to see answer by stanbon(26291) About Me 

Question 162512: Calculate the area of the triangle with the following vertices:
(-8, -2), (-1, -11), and (-1, -2)
I tried my best, and got an answer of 31.5 sq units. I just want to know if this is correct,and if not, see the steps to come to the correct answer and what it is. I thank you very much for your time!

Click here to see answer by Fombitz(2113) About Me 
Question 162512: Calculate the area of the triangle with the following vertices:
(-8, -2), (-1, -11), and (-1, -2)
I tried my best, and got an answer of 31.5 sq units. I just want to know if this is correct,and if not, see the steps to come to the correct answer and what it is. I thank you very much for your time!

Click here to see answer by scott8148(3382) About Me 
Question 162512: Calculate the area of the triangle with the following vertices:
(-8, -2), (-1, -11), and (-1, -2)
I tried my best, and got an answer of 31.5 sq units. I just want to know if this is correct,and if not, see the steps to come to the correct answer and what it is. I thank you very much for your time!

Click here to see answer by josmiceli(3012) About Me 

Question 162528: Find matrix X:
3. [6 5] [4 -2] * X = [18 49] [-20 6]
I'm so confused with this problem. I would love to see the correct steps,and correct answer. I could really use some help with this, Thank you so much for your time!

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

Question 162532: Find matrix X:

4. [3 4] [-3 -2] * X = [10 -10] [-8 8]
I have no clue where to even begin with this, I apperciate any help you have to offer me, id love to see the steps and correct answer. Thank you so much!

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

Question 162554: 9. (4, -10), (1, -1)
x y 1 x y
4 -10 1 4 -10
1 -1 1 1 -1
(x)(-10)(1)+(y)(1)(1)+(1)(4)(-1)+(1)(-10)(1)-(-1)(1)(x)-(1)(4)(y)=
-10x+y+(-4)-(-10)-(-x)-4y=
-9x-3y+6=0
-9x-3y=-6
-3y+(-9x)=-6
-3y=-6+9x
-y=2+3x
Y=-3x-2
Can you find my sign error? Im sure im just overlooking something,but I can't find it. Thank you so much!

Click here to see answer by checkley77(7072) About Me 

Question 162569: Question 162554: 9. (4, -10), (1, -1)
x y 1 x y
4 -10 1 4 -10
1 -1 1 1 -1
(x)(-10)(1)+(y)(1)(1)+(1)(4)(-1)+(1)(-10)(1)-(-1)(1)(x)-(1)(4)(y)=
-10x+y+(-4)-(-10)-(-x)-4y=
-9x-3y+6=0
-9x-3y=-6
-3y+(-9x)=-6
-3y=-6+9x
-y=2+3x
Y=-3x-2
Can you find my sign error? Im sure im just overlooking something,but I can't find it. Thank you so much!

checkley77 was nice enough to try to help me,but im still confused. I see that instead of (x)(-10)(1)+(y)(1)(1)+(1)(4)(-1)+(1)(-10)(1)-(-1)(1)(x)-(1)(4)(y)=
I needed to have (x)(-10)(1)+(y)(1)(1)+(1)(4)(-1)-(1)(-10)(1)-(-1)(1)(x)-(1)(4)(y)=
But I want to know if that effects my answer? Is Y=-3x-2 correct?

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Question 163622This question is from textbook College Algebra
: Find the maximum value of F=7y-4x subjet to
x+y 4x-3y x>or=0
y>or=0
This question is from textbook College Algebra

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Question 164544This question is from textbook Algebra 2
: I just moved to a new school and I am completely lost. Please explain this to me
Solve by Gauss-Jordan Method
x+y=2
7x+8y=21
and
x-y+3z=6
x-2y=5
2x-2y+5z=9
This question is from textbook Algebra 2

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Question 164705: hey how do you solve this problem( this is not in my textbook)

2 4 3 0 1 4
-1 1 5 -2 -1 -3
1 -2 -3 10 4 3

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Question 166219: can someone please help:
Determine whether the two matrices are inverses of each other by computing their product.
1.
2, -1, 0
-1, 1, -2
1, 0, -1
2.
1, -1, 2
-3, -2, 4
-1, 1, 1
yes or no

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Question 166219: can someone please help:
Determine whether the two matrices are inverses of each other by computing their product.
1.
2, -1, 0
-1, 1, -2
1, 0, -1
2.
1, -1, 2
-3, -2, 4
-1, 1, 1
yes or no

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Question 166212: Can someone help with this problem please:
Solve the matrix equation for X.
A =
2 0 0
-1 2 0
-2 4 1

B =
4
10
11
AX = B
CHOOSE FROM:
a.
0
8
-9

b.
2
6
-9

c.
3
7
-8

d.
3
6
-10

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Question 166298: A snack bar cooks and sells hamburgers and hotdogs during football games. To stay in business, it must sell at least 10 hamburgers, but cannot cook more than 40. It must also sell at least 30 hotdogs, but cannot cook more than 70. The snack bar cannot cook more than 90 items total. The profit on a hamburger is $0.33 and on a hotdog it is $0.21. How many of each item should it sell to make the maximum profit?
Click here to see answer by Mathtut(3670) About Me 

Question 166540: can somoene please show me how to do this problem:
Solve the matrix equation for X.
A =
[2; 2; 0]
[-4; -3; 2]
[0; -3; -5]
B =
[-10]
[2]
[-9]
AX = B
a.
[-113]
[108]
[-63]
b.
[-113]
[108]
[-65]
c.
[-118]
[109]
[-63]
d.
[-113]
[107]
[-62]

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Question 166537: can someone show me how to do this problem:
Barnes and Able sell life, health, and auto insurance. Sales for May and June are given in the matrices.
M =
[20,000; 15,000; 8000]
[30,000; 0; 17,000]
J =
[70,000; 0; 30,000]
[20,000; 25,000; 32,000]
Find the matrix that would give total sales for the months of May and June.
a.
[90,000; 15,000; 38,000]
[50,000; 25,000; 49,000]
b.
[90,000; 15,000; 38,000]
[50,000; 25,000; 32,000]
c.
[90,000; 0; 38,000]
[50,000; 0; 49,000]
d.
[140,000; 40,000; 87,000]

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Question 166576: can someone please help me with this problem:
Find the order of the matrix product AB and the product BA, whenever the products exist.
A is 2 x 1, B is 1 x 1
a. AB is 2 x 1, BA is nonexistent.
b. AB is nonexistent, BA is 1 x 2
c. AB is 1 x 2, BA is 1 x 1
d. AB is 2 x 2, BA is 1 x 1

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Question 167114: Use the Gaussian Elimination to solve for x, y, & z:
x + 2y + 3z = 8
x - y - z = 3
2x + y - 2z = 3
I don't even know how to begin, can anyone please help? Greatly appreciated.

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Question 167138This question is from textbook
: can someone please show me how to do this problem:
Find the inverse, if it exists, of the given matrix
[2 -1 0]
[3 -2 0]
[-2 3 1]

a.
[2 -1 0]
[3 -2 0]
[-5 4 -1]
b.
[1 -1 0]
[3 -2 1]
[-5 4 -1]
c.
[2 -1 0]
[3 2 0]
[-5 4 1]
d.
[2 -1 0]
[3 -2 0]
[-5 4 1]
This question is from textbook

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Question 167300: How do I solve for a variable in a matrix? Can you please give me an example?
hi...ask ur teacher!

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Question 167529: The graph of f (x) = ax2 + bx + c passes
through the points (1, k1), (2, k2), and (3, k3). Determine a,
b, and c for
(A) k1=-2, k2 = 1, k3 = 6
(B) k1 = 4, k2 = 3, k3=-2
(C) k1 = 8, k2=-5, k3 = 4
I attempted to solve as follows:
(A)-2= a + b + c
1= a - b + c
6= 4a + 2b +c
and entering this into a matrix, but it doesn't come out right.
What am I doing wrong?
Thank you!
Debi

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Question 167525This question is from textbook Algebra 2
: How do you solve a matrices when using cramer's rule if the problem has a fraction in it?This question is from textbook Algebra 2

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Question 168030: I need to solve the equation by using the Gaussian elimination method. I tried it how the book stated but it doesn't look right.
x + 2y - 2z = -2
5x + 9y -4z = -3
3x + 4y -5z = -3

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Question 168088: Please help me understand this
2^d(5^f) - 10^d
f = 4 and d = 1

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Question 168079: Can anyone confirm that I'm doing this correctly?
Evaluate the following determinants.
[-5 0 0]
[ 0 3 -2]
[ 0 4 0]
The answer I got was 40. Is that right?

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Question 168210: In the chemistry lab, a certain acid is stored in two different dilutions. One bottle cotains a weaker solution that is only 25% acid , but another has a stronger solution of 65% acids. Students must pour some from each container to make 60 ml of a solution that is 50% acid. How much from each container should be used
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Question 168218: a box in the textbook warhouse has the given label It contains some Algebra 2 textbooks (each costs $84 and weighs 5.2 pounds) some Chemistry books (each costs $90 and weighs 4.4 pounds) and some Liteature books (each costs $75 and weighs 6 pounds). How many of each type of book are in the box
Smart School Publishing
Quantity: 17 Books
Weight: 84.4 pounds
Value: $1,449

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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