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|dw:1348860718372:dw|

i already did it ,but i want to know how to do it with a systematic way,thanks

ABAAB

I am not sure but looks worth try.

\[ ABAAB =
\begin{bmatrix}
1 &0 \\
0 & 1
\end{bmatrix}
\]

Is this matrices??-

yes

A.B.A.A.B=M for sure

Indeed it workds ...i had been using * where i should have used .

woah

woops!! that's b+d

Try to write the expressions for multiplying this matrices from another side.

add down
{{1, 1}, {2, 3}}
add up
{{3, 4}, {2, 3}}
add down
{{3, 4}, {5, 7}}

i did it in a similar way but without using equations too

well ... i hope there is better method.

|dw:1348863383528:dw|

too mantain the first line and add to second i have to multlyby A

A(BA.AB)

multply by right is a linear combinations of rows

that is what i did i find first row

first row is two times row1A+row2B

AB put in first 2row1+row 2

thanks @experimentX

haha .... no probs man!!