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Just stumbled into some linear algebra questions in my textbook...that I can't quite seem to work out...

Prove or disprove the following statements concerning 2 x 2 matrices:

1) If A^2 - 3A- 2I = 0 then (A-1) and (A-2I) are both invertible.

(so I got the determinant to be 0, which would mean that they are not, thus making it FALSE..is this right?)

2) If A = EB and E is elementary then B = FA for some elementary F.

...I wasn't too sure about this one...

Thank you...Neon Vomitt was the one who sparked my interest...so THANK YOU to you!

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# Are these statements TRUE or FALSE and why?

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