Friday, 21 March 2014

linear algebra - 2x2 matrices with sum of diagonal entries equal zero

Is the set of 2x2 matrices with sum of diagonal entries equal zero a vector space over the real numbers under the usual matrix matrix addition and scalar matrix multiplication?

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real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...