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Homework Help: Matrix binomials please help

  1. Jun 8, 2010 #1
    Matrix binomials...please help!!!

    Find the general statement that express Mn in terms of aX and bY if:
    A = aX and B = bY
    [tex]
    M = \begin{pmatrix} a+b & a-b \\a-b & a+b \end{pmatrix}
    [/tex]
    M = A + B
    M2 = A2 + B2
    [tex]
    X = \begin{pmatrix} 1 & 1 \\1 & 1 \end{pmatrix}
    [/tex]
    [tex]
    Y = \begin{pmatrix} 1 & -1 \\-1 & 1 \end{pmatrix}
    [/tex]

    How would i do this question:... is it a matter of LS and RS check?
    Test the validity of your general statement by using different values of a, b, and n?
     
    Last edited: Jun 8, 2010
  2. jcsd
  3. Jun 8, 2010 #2

    lanedance

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    Homework Helper

    Re: Matrix binomials...please help!!!

    i don't understand your question - note the following tex to help write a matrix
    [tex] A = \begin{pmatrix} a & b \\c & d \end{pmatrix} [/tex]
     
  4. Jun 8, 2010 #3

    Dick

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    Science Advisor
    Homework Helper

    Re: Matrix binomials...please help!!!

    What are XY and YX? If you expand (A+B)^n what terms can you eliminate? How can you simplify the remaining terms?
     
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