Linear Algebra, orthogonal

posted by .

The vector v lies in the subspace of R^3 and is spanned by the set B = {u1, u2}. Making use of the fact that the set B is orthogonal, express v in terms of B where,

v = 1

B = 1 1
2 , 1
3 -1

v is a matrix and B is a set of 2 matrices

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    There is one step in a proof that I don't understand. Could someone please explain?
  2. math

    Prove that if A is a symmetric n x n matrix, then A has a set of n orthonormal eigenvectors. I've read the entire page and while it's on the correct topic, …
  3. math

    Find an orthonormal basis for the subspace of R^3 consisting of all vectors(a, b, c) such that a+b+c = 0. The subspace is two-dimensional, so you can solve the problem by finding one vector that satisfies the equation and then by constructing …
  4. Math

    Mark each of the following True or False. ___ a. All vectors in an orthogonal basis have length 1. ___ b. A square matrix is orthogonal if its column vectors are orthogonal. ___ c. If A^T is orthogonal, then A is orthogonal. ___ d. …
  5. Linear Algebra

    1/ Prove that the set V=R+ ( the set of all positive real numbers) is a vector space with the following nonstandard operations: for any x,y belong to R+ & for any scalar c belong to R: x O+ ( +signal into circle) y=x.y (definition …
  6. Linear Algebra

    Knowing u = (4,0,-3), v = (x,3,2) and that the orthogonal projection of v on u is a vector of norm 6, determine x. Thank you
  7. Math

    I'm doing a bunch of practice finals and I don't know how to approach this problem. Find a vector a such that a is orthogonal to < 1, 5, 2 > and has length equal to 6. If I want to find a vector that is orthogonal to <1,5,2>, …
  8. Math Elementary Linear Algebra

    determine whether or not the given set forms a basis for the indicated subspace: #1 {1,1,0), (1,1,1)} for the subspace of R^3 of all (x,y,z) such that y= x+z #2 {[1,2,-1,3), (0,0,0,0)} for the subspace of R^4 of all vectors of the …
  9. linear algebra

    Hello, how can I proof the next theorem? I have a linear transformation T(X) that can be express as T(X)=AX and A is an orthogonal matrix, then ||T (X)||=||X|| , I was doing this: ||T (X)||=sqrt(<AX,AX>) But I don't know what
  10. Linear Algebra

    Hi, I really need help with these True/False questions: (a) If three vectors in R^3 are orthonormal then they form a basis in R^3. (b) If Q is square orthogonal matrix such that Q^2018 = I then Q^2017 = Q^T. (c) If B is square orthogonal …

More Similar Questions