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Find the general statement that express M^{n}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

M^{2}= A^{2}+ B^{2}

[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?

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# Homework Help: Matrix binomials please help

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