1,954 Answered Questions for the topic linear algebra

Linear Algebra

10/08/18

How many packages of each style should it prepare to use up existing​ supplies?
A company produces three combinations of mixed vegetables that sell in​ 1-kg packages. Italian style combines 0.4 kg of​ zucchini, 0.4 kg of​ broccoli, and 0.2 kg of carrots. French style combines... more
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Linear Algebra

10/08/18

How many acres of soybean and how many acres of corn should be planted to maximize profit?
Rayland's farm grows soybeans and corns on it's 500 acres of land. An acre of soybean brings  $100 profit and an acre of corn brings  $200 profit. Because of the government program, 1200 hours of... more
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09/28/18

The # of student tickets sold was equal to 3 times the # of adult tickets sold decreased by 56. Student tickets cost $3.50 and adults $5.
The total receipts were $2005. How many adult tickets were sold? I don't know how to write the equation for this. Pls help me solve this
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09/09/18

How do you solve a systems of equations using rref when the system in dependent?
In my case, after I used the rref function on my calculator to solve the equations: x − y + 7z = 3x − y + 8z = 2   It gave the following as a matrix: 1  -1  0  10 0  0  1  -1   I think this... more
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Linear Algebra

08/18/18

how do i calculate x from y =mx
i am given x and y coordinates and was asked to draw a scatter plot, and then draw a line of best fit for those plots. i was then asked to calculate a slope using the points from the best fit line.... more
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08/03/18

If the midpoint of A and B is (1,3), what might the end points be?
I'm really having trouble with this one! If anyone could help it would be highly appreciated! :) I know about finding one endpoint with the midpoint and the other end point but I can't work this... more
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07/30/18

How to determine whether T is linearly independent ? Justify your answer please.
Let S={X1,X2,X3} be a linearly independent set of vectors in R^3. How to determine whether T={2X1 + X2 - 2X3,4X1+ 3X2,3X1 + 2X2 - X3} is linearly independent. Justify your answer please.
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07/27/18

Please help me find the matrix X. Justify your answer please.
               2 1 0                   1 0 1Let A = [ 1 0 1 ] and B = [ 2 0 1 ]                0 3 0                  0 1 1 Find the matrix X such that (2X + A)-1 = B.
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07/27/18

I want to solve this, i need help. Justify your answer please.
Consider the linear system: x - 2y + 3z = 4 2x - 3y + az = 5 3x - 4y + 5z = b   For which values of a and b does the linear system have a) no solution, b) a unique solution, c) infinitely... more
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07/27/18

Is this True or False ? Justify your answer please.
If A is a 2 x 2 matrix such that AAT (Transpose) = 0, then A = 0.
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Linear Algebra Mathematics Proof Writing

07/12/18

Prove that the only solution of |x|+(y-1)²=0 is x=0 and y=1.
Our math professor gave us a problem (as stated in the title) but I don't know where to start and how to write proofs.
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06/01/18

I have to compute the atomic weight of nitrogen and oxygen (with matrix operations)
Nitrogen and oxygen have atomic weights of 14 and 16 respectively. Use the molecular weights of the six nitrogen oxides given below to compute the atomic weights for nitrogen and oxygen, correct... more
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Linear Algebra Limits Sum

05/12/18

Calculating upper and lower limits for a linear function
I am asked to calculate the lower limit and upper limit (L5 and U5) for the linear function y=13-3x, between x=0 and x=4.   I have found that Δx=4/5, and that x0 =0. However, I am getting my... more
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Linear Algebra Math Math Help

05/01/18

Eigenvalues and proof
Prove that a 2x2 matrix with only one eigenvalue is diagonalizable if and only if it is already diagonal.
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Linear Algebra

04/26/18

How do you write the standard number 856,400 in scientific notation?
A. kytdkytd b.jyrsdyukrkyuetyjt c.kjgluyfkuyfluyfd.dfjhfjlf         I did not want to do this discreption
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04/08/18

How do I write the problem: How many different arrangements can I have of 2 couples? I know the answer is six. I don't know how to express.
I'm teaching myself linear algebra.  I'm trying to give myself a simple problem regarding combinations and permutations.  If I have two couples (boy/girl for illustration purposes) how can I write... more
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Linear Algebra

04/05/18

If I want to get the equation -x+y=2 what are steps
How to turn -x+y=2 into y=MX+b form with the step. 
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03/23/18

VECTOR QUESTION
A triangle in space is defined by the points P = (1,1,2), Q = (−1,0,3) and R = (2,1,−1).   Find a vector form and the parametric equations for the equation of the line passingthrough P and... more
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Linear Algebra Vector Dot And Cross Product

03/16/18

Use properties of the cross product to calculate the following:
Use properties of the cross product to calculate the following:   (a) (e1+e2)×(e1×e2) =   (b) 3e3×(e3+e2) =
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Linear Algebra

02/19/18

If T: R^2 to R^3 is a linear transformation satisfying T(1,1)=(8,3,1) and T(1,-1) = (4,1,5)
what is the first, second and third component of T(3,1)?
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02/18/18

Solving 3 Equations with 3 Unknowns (using gauss method)
x-y-z=1 x+3y+3z=-1 x+y+z=0
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Linear Algebra

02/18/18

w = {( x , y , 5x -6y) : x and y are real numbers } is subspace of V= R³
 How we can prove that is a subspace ?
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Linear Algebra

02/17/18

Linear Independence of vectors. Dont understand this solution
Show whether the following three vectors are linearly independent or not   V := C(R);  f1(x) = ex; f2(x) = e3x; f3(x) = x(x−1)   Solution:   af1 + bf2 + cf3 = 0   af1(x) + bf2(x) + cf3(x) =... more
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Linear Algebra Pre Calculus Functions

02/11/18

it is asking to plot the point (3, f(3))
This is a function of x and is asking to plot this point but I am confused.
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01/31/18

Please Formulate An Equation
Steve is two years older than Marvin, Five years ago the sum of their ages was 10 years more than Steve's present age. How old was Marvin 5 years ago?
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