1,965 Answered Questions for the topic linear algebra

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
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) =
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)?

02/18/18

Solving 3 Equations with 3 Unknowns (using gauss method)

x-y-z=1 x+3y+3z=-1 x+y+z=0
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 ?
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
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.

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?

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?

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?
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
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 ? 
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  
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
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
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
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. 
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
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     ???
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

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
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 = [] ?
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
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
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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