Results 1 to 3 of 3

Math Help - matrix of s

  1. #1
    Member
    Joined
    Jan 2011
    Posts
    110

    matrix of s

    Hi!

    Just want to confirm the following

    s:C-->R^3
    a+ib-->(b,a,a+b)

    Find the matrix of s with respect to the standard basis for the domain C and the standard basis for the codoaim R^3.

    I have
    s(a,b) = (b,a,a+b)
    s(1,0) = (0,1,1), s(0,1) = (1,0,1)

    The matrix of s with repect to the standard basis is

    A = ( 0 1)
    (1 0)
    (1 0)

    Is this correct?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    10,211
    Thanks
    419
    Awards
    1
    Quote Originally Posted by Arron View Post
    Hi!

    Just want to confirm the following

    s:C-->R^3
    a+ib-->(b,a,a+b)

    Find the matrix of s with respect to the standard basis for the domain C and the standard basis for the codoaim R^3.

    I have
    s(a,b) = (b,a,a+b)
    s(1,0) = (0,1,1), s(0,1) = (1,0,1)

    The matrix of s with repect to the standard basis is

    A = ( 0 1)
    (1 0)
    (1 0)

    Is this correct?
    I'm assuming a typo. If you meant
    s = \begin{pmatrix} 0 & 1 \\ 1 & 0 \\ 1 & 1 \end{pmatrix}

    then you are correct.

    -Dan
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Jan 2011
    Posts
    110
    Yes, thanks
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: November 27th 2010, 04:07 PM
  2. [SOLVED] Elementary matrix, restore to identity matrix
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: February 13th 2010, 10:04 AM
  3. unitary and upper triangular matrix => diagonal matrix
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: December 10th 2009, 07:52 PM
  4. Replies: 3
    Last Post: March 17th 2009, 11:10 AM
  5. finding check matrix from generating matrix
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: June 3rd 2008, 05:27 AM

Search Tags


/mathhelpforum @mathhelpforum