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Math Help - Proof: rref[A|AB]=[In|B] regarding determinants

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    Proof: rref[A|AB]=[In|B] regarding determinants

    [IMG]file:///C:/Users/MARIUS%7E1/AppData/Local/Temp/moz-screenshot.png[/IMG][IMG]file:///C:/Users/MARIUS%7E1/AppData/Local/Temp/moz-screenshot-1.png[/IMG]
    The exercise wants us to show the following equality, by thinking in terms of block matrices.

    We`re supposed to used the fact that [B; In] is in the kernel of [In; M]

    rref[A AB] = [I M] and we must show the equality M=B.

    I am pretty clueless on how to approach this. A link to the proof or some (solid) hints would be appreciated.
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