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Help with matrices problem

  • 31-10-2010 06:24PM
    #1
    Registered Users, Registered Users 2 Posts: 21


    I've an assignment due for tomorrow so I'd be grateful if anyone could help me fairly soon! Here's the Q: Find a 2 x 2 matrix such that AC=4C - B when A and B are given.


Comments

  • Registered Users, Registered Users 2 Posts: 2,947 ✭✭✭D-Generate


    It has been a while but...

    4C - AC = B
    [4-A]C = B
    C = (4-A)^-1B

    where 4 is [4 0;0 4]


  • Closed Accounts Posts: 6,151 ✭✭✭Thomas_S_Hunterson


    Just to make that last line a bit less ambiguous:

    [latex]\displaystyle C = (4-A)^{-1} B[/latex]


  • Closed Accounts Posts: 11,924 ✭✭✭✭RolandIRL


    would there also need to be the 2x2 identity matrix after the 4 in the last line?


  • Moderators, Science, Health & Environment Moderators Posts: 1,855 Mod ✭✭✭✭Michael Collins


    whiteman19 wrote: »
    would there also need to be the 2x2 identity matrix after the 4 in the last line?

    There sure would, good spot.


  • Registered Users, Registered Users 2 Posts: 2,947 ✭✭✭D-Generate


    Ah yeah but I said
    4 = [4 0; 0 4]
    so same thing really.

    How does one put in the Latex type stuff?

    [latex]\[
    4 =
    \left[ {\begin{array}{cc}
    4 & 0 \\
    0 & 4 \\
    \end{array} } \right]
    \][/latex]


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  • Closed Accounts Posts: 6,151 ✭✭✭Thomas_S_Hunterson


    Put it in latex bbcode tags:
    [latex] y = x^2 [/latex]
    

    /edit: ok it's actually parsing the contents of a code box...this is a bug.

    Put your latex code between latex tags as follows but without the dashes [-latex] and [-/latex]


  • Registered Users, Registered Users 2 Posts: 17,392 ✭✭✭✭r3nu4l


    To avoid the latex tags being coded do the following...

    [noparse][noparse][latex] y = x^2 [/latex][/noparse][/noparse]

    then you get this:

    [noparse][latex] y = x^2 [/latex][/noparse]


  • Closed Accounts Posts: 11,924 ✭✭✭✭RolandIRL


    D-Generate wrote: »
    Ah yeah but I said
    4 = [4 0; 0 4]
    so same thing really.

    How does one put in the Latex type stuff?

    [latex]\[
    4 =
    \left[ {\begin{array}{cc}
    4 & 0 \\
    0 & 4 \\
    \end{array} } \right]
    \][/latex]
    didn't see your edit :o just saw the post before mine :)


  • Closed Accounts Posts: 6,081 ✭✭✭LeixlipRed


    Is that the solution to the latex issue then or what? I'm not in any way a techie. If it needs to be brought up over in moderator land soneone PM and I'll do so.


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