Two things:(adsbygoogle = window.adsbygoogle || []).push({});

1) If we say that the space of all 2 by 2 matrices is identified with R^4, what does that mean?

2) Suppose f is a function from GL(n, R) to GL(n, R) (the space of all real n by n invertible matrices) identified with [tex] \mathbb{R}^{n^2} [/tex] I am asked to prove that [tex] df_{A_0} (X) = -X [/tex] where [tex] A_0 [/tex] is the identity matrix. My question is, [tex] df_{A_0} [/tex] would usually denote that derivative of f at the point [tex] A_0 [/tex], so where does that (X) part come into play?

I know that I should be asking my prof this, but I wanna do these homework questions before my next class (Wednesday), so it would be great if you guys could help me out.

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# What does this mean?

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