1,975 Answered Questions for the topic linear algebra

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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01/31/18

Formulate the equation and solve the problem
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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01/30/18

I need help in finding the rate.
Luis can run 10 kph faster than Greta. One day,each of them left their house and ran towards each other. If the distance between them was 43.5 km and they met in 45 minutes, what was their rate?
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Linear Algebra

01/23/18

Let ||v|| = 2 and ||w|| = 4 and w · v = 2. Compute ||2v + 17w||.
might help to use dot product and cauchy schwartz inequality
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Linear Algebra

01/20/18

Are these vectors linearly independent or dependent ?
( 1, -1, 2 ) ( 2,0,1) ( -1, 2, -1  )    Is there a way to figure it out by looking at them instead of the matrix way ? 
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Linear Algebra

01/18/18

Determine the missing coordinate in the ordered pair(4,?) so that it will satisfy the given equation.
2x+y=2  please help  
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Linear Algebra

01/03/18

How to know if a subspace is a subspace
Given the following vectors in R3, that is: 𝑣1 = (1,2, −1), 𝑣2 = (0,1,1), 𝑣3 = (−1, −4,2) a. Find a basis, the dimension and Cartesian equations of the subspace generated by the above three... more
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Linear Algebra

12/10/17

Prove if each of the following transformations is linear or non-linear.
E(x,y) = (x+2, y-3)   and    F(x,y) = 2y-x
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Linear Algebra

11/15/17

Linear Algebra Question
H={[a,b,c,d]: a+3b=c, b+c+a=d}   Show the subset H is a subspace or give a counter example   I am very confused can someone help
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Linear Algebra Sets

11/12/17

Determine if a set is a subspace.
Determine whether the given set is a subspace of P3. Explain why.  A = {p(t) = at^3+bt} Where a and b are both elements of the Reals. 
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