Results 1 to 2 of 2

Math Help - Write Linear Combinations as Vector-Matrix Products

  1. #1
    Junior Member
    Joined
    Aug 2009
    Posts
    37

    Unhappy Write Linear Combinations as Vector-Matrix Products

    Write the following linear combinations as vector-matrix products.

    A. v = 2(1,2,3) - 4 (-5,0,-1) + 3 (2,-2,3)

    B. v = 3(2,-4) + 2 (1,4) - 1 (-2,-3) + 5 (1,1)

    If anyone can help with a step by step how to do this or point me to a good step by step guide how to do this that would be very much appreciated.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,916
    Thanks
    1762
    Awards
    1
    Quote Originally Posted by RedKMan View Post
    Write the following linear combinations as vector-matrix products.
    A. v = 2(1,2,3) - 4 (-5,0,-1) + 3 (2,-2,3)
    There are several ways that this could be answered.
    You need to consult your text material for the way they want it done.

    Here is one possible way:
    \left[ {\begin{array}{rrr}<br />
   1 & { - 5} & 2  \\<br />
   2 & 0 & { - 2}  \\<br />
   3 & 1 & 3  \\<br /> <br />
 \end{array} } \right]\left[ {\begin{array}{r}<br />
   2  \\<br />
   { - 4}  \\<br />
   3  \\ \end{array} } \right]
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Linear combinations (from a 5x7 matrix)
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: April 16th 2010, 08:23 AM
  2. Vector linear combinations
    Posted in the Algebra Forum
    Replies: 1
    Last Post: March 27th 2009, 02:31 AM
  3. Vector Dot and Cross Products
    Posted in the Calculus Forum
    Replies: 5
    Last Post: November 25th 2007, 03:37 PM
  4. matrix products
    Posted in the Algebra Forum
    Replies: 2
    Last Post: August 24th 2007, 11:38 AM
  5. [SOLVED] matrix products
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: July 7th 2007, 05:21 PM

Search Tags


/mathhelpforum @mathhelpforum