Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Can both of this vector combine become the following matrix?

  1. Feb 21, 2009 #1
    vector A : ai+bj
    vector B : ci+dj

    can both of this vector combine become the following matrix?

    [tex]\stackrel{a}{c}[/tex] [tex]\stackrel{b}{d}[/tex] or [tex]\stackrel{a}{b}[/tex] [tex]\stackrel{c}{d}[/tex]

    hope anyone can tell me more about this..coz i search a lot a wiki there..~~
  2. jcsd
  3. Feb 21, 2009 #2
    Re: matrix

    What do you mean by combine?
  4. Feb 21, 2009 #3
    Re: matrix

    do you mean put vectors together in column or in row?
  5. Feb 21, 2009 #4


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Re: matrix

    You just need to consider the definition of matrix multiplication. You want to find a matrix A such that

    a\bold{i} + b\bold{j} \\
    c\bold{i} + d\bold{j}
    \end{array}\right) = A \left(\begin{array}{c}
    \bold{i} \\
    \end{array}\right) =
    a_{11} & a_{12} \\
    a_{21} & a_{22}
    \bold{i} \\

    From this you should be able to work out the required components.
  6. Feb 21, 2009 #5


    User Avatar
    Science Advisor

    Re: matrix

    You can put numbers together any way you please and make a matrix. The question is how do you want that matrix to be related to the original vectors and what do you want to do with it?
  7. Feb 23, 2009 #6
    Re: matrix

    I think i found the answer by the definition of the mutiplication of matrix...
    Thx a lot..~
    coz when i read about the article of the transformation matrix i can't get it..hehe thx
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook