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

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Question 586547: Can someone please help and show me all steps?
Thanks
Add the matrices shown.
[3 -1 -4] + [-3 -6 12]
[5 9 0] [24 5 3]

Note that I am only adding two matrices, it just looks like 4 seperate ones, but they are both 2 by 3 matrices

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Question 586576: Someone please help and show steps
Calculate using either method
2[1 0 -5]
[5 -2 1]
[2 3 1]

Im guessing I multiply 2 by the 3 by 3 matrix?

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Question 586808: Complete the Multiplication 2Ea
E=[1,2] A=[3,0,2,-1]
Answers:
A.[7,-2]
B.[7,-4]
C.[14,-4]
D.14,4]

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Question 586999: Identify the solution to the system of equations.
3x-y=0
4x+2y=1
a.)(-1/2, 3/2)
b.)(1/10, 3/10)
c.)(1/9, 1/3)
d.)no solution

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Question 586997: How can you translate the graph of y=|x| to obtain the graph of y=|x-4|+2?
a.)4 units left and 2 units up
b.)4 units left and 2 units down
c.)4 units right and 2 units up
d.)4 units right and 2 units down

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Question 587289: 3x+2y=13
2x-y=4

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Question 587969: The value of x for which A does not have an inverse.
A(2x2)=
-2 3
x 1

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Question 588527: Fine the inverse matrix of A=2 -4 , find A^-1
-2 5

Can someone please help me and show all steps?
Thanks

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Question 589291: Using Cramer’s rule find x5 of the following system. No marks will be given if Cramer’s rule is not used. (solve the determinants by hand and show all work. You can use whichever method for finding
 1  2
1  2
0 0 1 0 3 0 14
1 1  x1 1 2  x2 1 3x3 11x4
  0    2 
=0   3 
1
13012x5

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Question 590094: find the determinant of
1 2 3
4 5 6
2 0 1

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Question 591711: 2w-3x+4y+z=7
w-x+3y-5z=10
3w+x-2y-2z=6
w+2x-y-3z=5

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Question 591709: find x,y,z
2w-x+3y+z=0
3w-2x+4y-z=0
5w-2x-2y-z=0
2w+3x-7y-5z=0

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Question 592297: Rewrite the system of equations as an augmented matrix. Then simplify the matrix to reduced row echelon form. Identify the solution to the system of equations;
x + y + z = 3
2x - y + z = 2
4x - 2y + 3z = 5

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Question 593151: 8X+13Y=271.80 10X+15Y=321.00 use theinverse of the coefficient matrix of the equivalent matrix equation to solve

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Question 594623: hi how do you solve a system of equations using a matrix when the matrix isn't square?
For example:
4x-y=2
2x+2y=1
4x-5y=3
?

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Question 595862: I really need help solving this problem using Cramer's rule {x-y=2
y-x+4=0
I don't understand how to do it when there's an extra number involved (like the 4 in this case)

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Question 598493: 3x-4y+3z=-17
x-3y+2z=-8
x-2y+z=-5
Please help me find all possible solutions (Idenity Matrix)

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Question 600813: Determine the linear velocity of a point rotating at an angular velocity of 7.1 radians per second at a distance of 12 centimeters from the center of the rotating object.
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Question 600824: Evaluate each expression
sin 5 pie over 6
tan 5 pie over 4

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Question 600823: State amplitude and period for each function y=3cos4 theta and y= -2 sin (3pie over 2) theta
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Question 601343: If a 2X2 MATRIX A=1 0 -1 1(last 2 term in 2nd line). T hen Proved that A*A-2A+I=0. And then find out the value of A^50.

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Question 601689: 4 - (2x - 9)= -19
What do i do when there is a negative before the parenthesis?

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Question 601741: Solve using Cramers Rule
2x+4y=16
3x-5y=-9

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Question 602830: 2x1+x2+x3=10
3x1+2x2+3x3=18
3x1+4x2+9x3=16

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Question 602866: solve the system of equations using a matrix. separate the x and the y values with a comma. 2x+y=-22, -3x+8y=-24

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Question 603323: solve for x and y in the equation:2^(x+4y)=1 and 2^(x+8y)=1/4
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Question 603807: 5x -3y = 17
-2x + 5y = -22


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Question 604305: Hi! I think I got the correct answer to this word problem but am having trouble setting it up properly in a matrix (to get the right "output" answer). It is: when a crew rows with the current, it travels 16 miles in 2 hours. Against the current, the crew rows 8 miles in 2 hours. Let x=crew rowing rate in still water and y=rate of the current. I know rxt=d and x+y(t)=d and x-y(t)=d. I got x=6 and y=2. I have tried many different matrix "inputs" and just can't seem to get the right answer. I really wanted to figure it out on my own but am stuck. I know to line up the x's, y's, =k (constant). I need also to show the equation used.Thanks for any help!!!
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Question 606085: Solve for the variable in each equation
3[a,b_c,d]-2[1,3_5,0]=4[-1,2_3,2]

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Question 606599: Solve by Cramer’s Rule: 2x-y=5 and 3x+2y=-3
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Question 607183: Find the determinant of the following matrix.
1 1 2 1
-1 1 0 1
2 1 1 0
1 3 1 0

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Question 607183: Find the determinant of the following matrix.
1 1 2 1
-1 1 0 1
2 1 1 0
1 3 1 0

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Question 607392: An electronics company produces three models of stereo speakers, models A, B, and C, and can deliver them by truck, van or station wagon. A truck holds 2 boxes of model A, 1 of model B, and 3 of model C. A van holds 1 box of model A, 3 boxes of model B, and 2 boxes of model C. A station wagon holds 1 box of model A, 3 boxes of model B, and 1 box of model C. If 15 boxes of model A, 20 boxes of model B and 22 boxes of model C are to be delivered, how many vehicles of each type should be used so that all operate at full capacity?
I need help with setting up the equations for this problem. This is a matrix problem.
Is it something like this?
This is how I first translated it..
2x + 1y + 3z = truck
1x + 3y + 2z = van
1x + 3y + 1z = station wagon
Then I thought to maybe combine Boxes A, B, and C together within an equation:
Boxes A) 2x + 1y + 1z = 15
Boxes B) 1x + 3y + 3z = 20
Boxes C) 3x + 2y + 1z = 22
I'm a little lost.

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Question 607392: An electronics company produces three models of stereo speakers, models A, B, and C, and can deliver them by truck, van or station wagon. A truck holds 2 boxes of model A, 1 of model B, and 3 of model C. A van holds 1 box of model A, 3 boxes of model B, and 2 boxes of model C. A station wagon holds 1 box of model A, 3 boxes of model B, and 1 box of model C. If 15 boxes of model A, 20 boxes of model B and 22 boxes of model C are to be delivered, how many vehicles of each type should be used so that all operate at full capacity?
I need help with setting up the equations for this problem. This is a matrix problem.
Is it something like this?
This is how I first translated it..
2x + 1y + 3z = truck
1x + 3y + 2z = van
1x + 3y + 1z = station wagon
Then I thought to maybe combine Boxes A, B, and C together within an equation:
Boxes A) 2x + 1y + 1z = 15
Boxes B) 1x + 3y + 3z = 20
Boxes C) 3x + 2y + 1z = 22
I'm a little lost.

Click here to see answer by stanbon(75887) About Me 

Question 607388: How much of a 40% antifreeze solution must a mechanic mix with an 80% antifreeze solution if 20 gallons of a 50% antifreeze solution are needed?
Here's what I tried:
Let x= amount of 40%, y= amount of 80%
0.40x + 0.80y = 0.5(20)
x + y = 20

Multiplied by 10 to get rid of decimals in first equation:
4x + 8y = 10
x + y = 20
Put into matrices and got:
(37.5, -17.5)
The answer is supposed to equal to 15 gal of 40%, 5 gal of 80% according to the lab worksheet I'm working on. I don't know what I am doing wrong.

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Question 607502: solve this question
12x +32y- 92x *65y +100

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Question 607496: yar ya kya bongi hai kuch samajh hi nhi ata jis na banai wo bhi pagal aur parhnay wala bhi pagal
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Question 607390: $10,000 is to be invested in three different ways. One part of the money is used to purchase mutual fund that offer a return of 8% per year. The second part, which amounts to twice the first, is used to buy government bonds at 9% per year. The remainder is put in the bank at 5% annual interest. In the first year, the investments bring a return of $830. How much was invested in each way?
This is a matrices problem but I am confused with how to begin with the equations.
Is one equation x + y + z = 10,000? The second equation.. Is is something like this? 0.08x + 2(0.09)y =
I will be able to solve the problem after understanding how to put the wording into equations.. I understand how to solve matrices, so I am not asking for help with that. Thank you.

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Question 607716: write the system as a matrix
3x-5y=-25
2x+y=5

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Question 607723: write the system as a matirx
x-3y+2z=-21
y-2z=12
z=2
solve the system by gauss- jordan elimintaion

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Question 607725: write the matrix in reduced row echelon form
[5 6 4 44]
[7 9 -9 154]
[8 4 -9 118]

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Question 607697: Evaluate the determinant: Please show me the steps.
{{8,1,3},{2,-1,4},{1,-1,2}}

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Question 608040: solve by method of your choice { 6x+2y=7
3x+y=2 }

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Question 609378: x(squared)-4x=-3 Solve for x PLEASE
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Question 609881: Solve the following using the Cramer's Rule.
3x-y+z=1, x-2y+z=2, 2x+y+3z=0

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