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

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Question 759964: You have worked a system down to the following augmented matrix. What can be said of the solution
1 0 1 5
0 1 3 13
0 0 0 7
Click here to see answer by stanbon(75887)

Question 760480: A rectangular garden is 8 metres longer than it is wide. If its area is 240m^2, how many metres is the width (ie. The shortest side)?
Click here to see answer by Cromlix(4381)

Question 761856: Tremendous Enterprise produces three brands of herbal medicine:A,B and C.Each bottle of brand A requires 2ml of ingredient X,and 3ml of ingredient Y and 5ml of ingredient Z.Each bottle of brand B requires 3ml of X,4ml of Y and 4ml of Z.Finally,each bottle of brand C requires 1ml of X,2ml of Y and 7ml of Z.Available are 1900ml of ingredient X,2900ml of Y and 5450ml of Z.
a) Set up this problem as a system of linear equations that can be solved to obtain the number of bottles of each brand of herbal medicine that must be produced if all the available ingredients must be used up.
b) Write the above system of linear equations in matrix form.
c) Using a matrix method,determine the number of each brand of herbal medicine that must be produced.
d) The selling prices for brands A,B and C are respectively $10,$15 and $30 per bottle,and the total production cost for the different brands of herbal medicine obtained in (c) above is $10,000.
Using your answer in (c) above,advice the Management of Tremendous Enterprise on the profitability of the venture.
Click here to see answer by stanbon(75887)

Question 762559: What is the value of the determinant?
|3 6 8|
|2 4 0|
|3 6 8|
I have absolutely not idea how to even start this problem!
Click here to see answer by Alan3354(69443)

Question 762559: What is the value of the determinant?
|3 6 8|
|2 4 0|
|3 6 8|
I have absolutely not idea how to even start this problem!
Click here to see answer by MathLover1(20849)

Question 762543: Solve the following equation.
|0 0 -1|
|3 x 0 | = x^2
|2 0 3 |

Click here to see answer by MathLover1(20849)

Question 762565: Solve the following equation.
|0 0 -1|
|3 x 0 | = x^2
|2 0 3 |
Please help! I have no idea how to do this!
Click here to see answer by MathLover1(20849)

Question 762882: please help me solve this.use matrix method to solve the system of linear equation.
x+2y+z=4
3x-4y-2z=2
5x+3y+5z=-1?
Click here to see answer by Alan3354(69443)

Question 763258: Find the values of the variables of the matrix.
2+t 0 = -5 0
8 2 8 1y-2
A. t = �7, y = 0

B. t = �7, y = 4

C. t = 4, y = �7

D. t = �3, y = 4
Click here to see answer by jim_thompson5910(35256)

Question 763380: I want to know what exactly is a determinant?
Finding the determinant and solving for it is something I know very well.
But why do we solve it
And what does the solution actually determine?
Click here to see answer by rothauserc(4718)

Question 764083: use cramer's rule to solve
2x-3y=1
x+y=0
Click here to see answer by MathLover1(20849)

Question 764085: I don't know how to use the table of common logs, can you help me compute the following exponent to the nearest ten.

hint =3.145926
Click here to see answer by Edwin McCravy(20054)

Question 764473: solve the following equations by cramer's rule: x+y+z=9, 2x+5y+7z=52, 2x+y-z=0
Click here to see answer by ssasr(5)

Question 764681: X:Y=7:9, X-12:Y-12=3:5 then Value of X & Y
Click here to see answer by josgarithmetic(39613)

Question 757327: solve for x, given that
-5 0 -1
2 1 0 = 4
x 3 0
Click here to see answer by tommyt3rd(5050)

Question 761314: find the value of x
3 -1 4
2 5 1
9 x 12

Click here to see answer by tommyt3rd(5050)

Question 757820: If a = (4, 3, 9), b = (2, 8, 5) and c = (0, 7, 1)
Calculate the magnitude of 2a - 5b + 3c
Click here to see answer by tommyt3rd(5050)

Question 748863: Convert to augmented matrix.
x+y+z=1
-x=2+z-3y
z=x+y
Click here to see answer by tommyt3rd(5050)

Question 757329: calculate by using the expansion by minors
[1 0 -5]
2 [5 -2 1]
[2 3 1]
Click here to see answer by tommyt3rd(5050)

Question 752893: use matrices to find the equation of a line with the following sets of points
(4,1)(-2,-3)
Click here to see answer by tommyt3rd(5050)

Question 748264: What is the solution to the matrices
9x-5y=43
4x+ y= 3
Click here to see answer by tommyt3rd(5050)

Question 748077: is a 3x4 matrix by a 3x4 matrix defined?
Click here to see answer by tommyt3rd(5050)

Question 765750: Let matrix A= 8 -2 4 7
Let matrix B=2A. Find b22
Click here to see answer by tommyt3rd(5050)

Question 766816: Please help find the value of x in the equation
{{-4., 30.}, {4., -4.}}={{-8, x}, {-1, -1}}
Click here to see answer by tommyt3rd(5050)

Question 768246: 1 2 3 4 5 6
7 8 9 1 2 3
4 6 5 3 7 1
3 4 6 7 9 0
2 4 6 8 0 3
2 4 3 5 7 9
find determinent for this 6*6 matrix?

Click here to see answer by MathLover1(20849)

Question 769372: Solve the question by crammer rule:
The third angle of an isosceles triangle is 16 degree less than the sum of two equal angles.
Find three angles of triangle.
Click here to see answer by josgarithmetic(39613)

Question 769579:
Click here to see answer by satishkumar6325@mail.com(1)

Question 769579:
Click here to see answer by jessica.pitts25(1)

Question 770217: x+y=9, x-y+3z=2, 4y-3z-5=0 , solve for x using determinants
Click here to see answer by Alan3354(69443)

Question 770383: For a certain system of three linear equations, the solution set is {-4,16,-13}, and D=-37. Find the values of Dx,Dy,Dz
Click here to see answer by AnlytcPhil(1806)

Question 770379: Suppose that you are solving a system of three linear equations and have evaluated D,Dx,Dy, and Dz. Under what conditions does Cramers rule not apply?
A)Dx=0,Dy=0,orDz=0
B)D=0
C)Dx=0
D)D=0;and either Dx=0, Dy=0, or Dz=0
Click here to see answer by Edwin McCravy(20054)

Question 770534: I am not understanding how to solve for x in a matrix. The problem I am looking at is: SOLVE FOR X, GIVEN THAT
|-5 0 -1|
|2 1 0|=4
|x 3 0|
I don't even really know where to start with this and my book isn't helping!
Click here to see answer by Alan3354(69443)

Question 770630: Identify the type of conic, if any, represented by this equation. If the equation does represent a conic, state its vertex or center.
5x^2+10x+8y^2-48y+37=0
Click here to see answer by stanbon(75887)

Question 770772: Solve using Gauss-Jordan elimination method
x+3y =0
x+4y+z=1
2x-y-z=23
Click here to see answer by Cromlix(4381)

Question 770775: The following matrix is is row-echelon form and represent a linear system. Solve the system using backward substitution. Write the solution as an ordered triple.
1 1 -1 5
0 1 -1 2
0 0 1 1
Click here to see answer by tommyt3rd(5050)

Question 772170: Please help me solve this question:

(3 2)x(2)

(1 4)x(6)

I have done something like this:

(3x2 2x3

1x6 4x6)

(6 6

6 24)

I know it is wrong So, I need the correct solution

Answer it as soon as possible!

Thank You!

Click here to see answer by Alan3354(69443)

Question 772411:
Evaluate the determinant |5 0 1| |4 1 2| |2 5 0|

Click here to see answer by Edwin McCravy(20054)

Question 772688: prove that the following matrix [[-2/3 1/3 2/3]
[2/3 2/3 1/3]
[1/3 -2/3 2/3]] is orthogonal
Click here to see answer by tommyt3rd(5050)

Question 773356: find the determinant of the matrix A=(9 6 2
1 2 3
4 5 7)
Click here to see answer by Alan3354(69443)

Question 774296: Please help me solve this problem
prove that
x+1,3,5
2,x+2,5
2,3,x+4
is equal to zero
Click here to see answer by oscargut(2103)

Question 774294: Please help me solve this problem,
Prove that,
1+x,1-x,1-x
1-x,1+x,1-x
1-x,1-x,1+x
is equal to zero
Click here to see answer by oscargut(2103)

Question 774408: how do I solve {2x+3y=8
{6x+9y=24
those 2 are supposed to be in the same matrix parenthese.
Click here to see answer by solver91311(24713)

Question 777095: What is 4C?
C =
Click here to see answer by Edwin McCravy(20054)

Question 778337: solve by cramer's rule:1/x+1/y+1/z=1,2/x+5/y+3/z=0,1/x+2/y+4/z=3

Click here to see answer by stanbon(75887)

Question 779161: x-y=7 , x+y=11

Click here to see answer by Alan3354(69443)

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