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Math Help - multiplication

  1. #1
    Newbie
    Joined
    Dec 2008
    Posts
    19

    multiplication

    Given matrix A=

    2 1 0
    3 1 2
    1 0 5


    Use multiplication to find A^2=AA with working??
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  2. #2
    Senior Member
    Joined
    Nov 2008
    Posts
    461
    Hi dude.

    Quote Originally Posted by mathseek View Post
    Given matrix A=

    2 1 0
    3 1 2
    1 0 5


    Use multiplication to find A^2=AA with working??
    \begin{pmatrix} 2 & 1 & 0 \\ 3 & 1 & 2 \\ 1 & 0 & 5\end{pmatrix}^2 = \begin{pmatrix} 2 & 1 & 0 \\ 3 & 1 & 2 \\ 1 & 0 & 5\end{pmatrix}*\begin{pmatrix} 2 & 1 & 0 \\ 3 & 1 & 2 \\ 1 & 0 & 5\end{pmatrix}

    =\begin{pmatrix} 2*2+1*3+0*1 & 2*1+1*1+0*0 & 2*0+1*2+5*5 \\ 3*2+1*3+2*1 & 3*1+1*1+2*0 & 3*0+1*2+2*5 \\ 1*2+0*3 + 5*1 & 1*1+0*1+5*0 & 1*0+0*2+5*5 \end{pmatrix}

    = ...

    guess you have your own calculator to calculate it :-)

    PS: Merry Christmas and happy holidays
    Last edited by Rapha; December 23rd 2008 at 05:22 PM.
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