1,954 Answered Questions for the topic linear algebra

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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Linear Algebra Matrix Determinant

11/06/17

Finding det of a matrix after row operations.
Given a 4x4 matrix where R1: a b c d, R2: e f g h, R3: i j k l, R4: m n o p. We know that the determinant of this matrix is 9. What would the new determinant be if the matrix was transformed into... more
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Linear Algebra

11/01/17

Linear algebra
How to determine whether the vectors u:(1,-1,4) , v:(-2,1,3) , w:(4,-3,5) span R^3     ???
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Linear Algebra Addition Property

10/11/17

What operator preserves the addition?
  Per example, these are operators that do not preserve the addition:   Ln (a+b) is not = ln a + ln blike (a+b)^3 is not = a^3 + b^3Maybe it has something with linear algebra since this question... more
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10/01/17

s(t) = 6000 - 500t when the domain is 2 and 7
Please Help! An approximate linear model that gives the remaining distance, in miles, a plane must travel from San Diego to Brussels is given by the function: s(t) = 6000 - 500t (12hrs) where s(t)... more
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Linear Algebra Math

09/29/17

Linear Algebra Question
Let T: R2→R2 be the linear transformation that first rotates points clockwise through 30∘ and then reflects points through the line y=x. Find the standard matrix A for T.   A = [] ?
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Linear Algebra Math Math Help Vectors

09/23/17

Assume u4 is not a linear combination of {u1,u2,u3}
Assume u4 is not a linear combination of {u1,u2,u3}   A. {u1,u2,u3,u4} is never a linearly dependent set of vectors. B. {u1,u2,u3,u4} could be a linearly independent or linearly dependent set of... more
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Linear Algebra

09/12/17

How do I prove this is a subspace ?
Prove that a subset W of a vector space V is a subspace of V if and only if W ≠empty and whenever a∈ F and x,y ∈W then ax∈W and x+y∈W
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Linear Algebra Math College Algebra Proof

09/10/17

How do I prove that ax+by+cx=dx+ey?
x,y,z ∈ ℝ3   and  x+y+3z=0   How do I prove ax+by+cz=dx+ey, if d and e are real numbers chosen to fit the equation? Thank you very much if you can help me! 
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Linear Algebra Math Math Help Vectors

08/30/17

Linear Algebra Question
the vector [-14,-7,19] is a linear combination of vectors [-3,-3,-3] and [10,9,-10] if and only if the matrix equation Ax = b has a solution x where     A = [?  ?]    and b = [?]       [?  ?]  ... more
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Linear Algebra

07/20/17

Are there any solutions?
Consider the following system   X1+X2+X3=-1 -X1          =-1 X1+X2-X3 =-1   Without solving the system, can you tell if there are any solutions? If so, how many?  
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Linear Algebra

05/18/17

What is the x axis? What is the y axis
The machine can stuff a batch of envelopes in 5 hours.  How long would it take the machines to stuff 10 batches of envelopes?  14 batches of envelopes?   I know one equation is 5*10 & other... more
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Linear Algebra Algebra 2 Algebra Mathematics

05/08/17

If A is a matrix of order 1 x 3, B transpose is a matrix of order 1 x 3 , then it is possible to carry out the operation?
The choices are ( A + B , B transpose + A transpose , AB(transpose) , AB. I know that A + B and B transpose + A transpose is wrong. My teacher said that AB is the correct answer but why not also... more
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Linear Algebra

05/01/17

Scalar triple prosuct
 Suppose that u•(vxw) = 3 , find u•( wxv)  . Please give everyone a detailed explanation on how to solve !
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Linear Algebra

04/16/17

Consider the homogeneous linear system and express the solution set of this system as a span of a sequence of vectors.
x1 + x2 + 2x3 + 2x4 = 0 x1 + 2x2 + x3 + 3x4 = 0 x1 + 3x2         + 4x4 = 0
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Linear Algebra Algebra 2 Algebra Hard To Do

04/15/17

Very Hard Algebra Question
I Found an uncommon linear equation from my math book   Given :  X1 + 4X2 + 9X3 + 16X4 +25X5 + 36X6 +49X7 = 1 4X1 + 9X2 + 16X3 + 25X4 + 36X5 + 49X6 + 64X7 = 12 9X1 + 16X2 + 25X3 + 36X4 + 49X5... more
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Linear Algebra Vectors

04/14/17

Find an equation for the plane that passes through (2,4,-1) and contains the line of intersection of the planes x-y-4z=2 and -2x+y+2z=3
I have no idea what Im doing wrong but I keep getting the wrong answer. What I did first was find two points. So I set z=0 and x=0 . Then I created two vectors and did the cross product for ABxAC... more
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