Recent content by Abuda

Thank you very much for helping me and fixing up my latex skills. Your explanation about canceling sounds good to me and the other notes about the algebra of limits. Alex

Homework Statement Evaluate the limit below indicating the appropriate Limit Law(s) implemented. [tex]\lim_{x\rightarrow 0.5}\frac{2x^2+5x-3}{6x^2-7x+2}[/itex] 2. The attempt at a solution [tex]\lim_{x\rightarrow 0.5}\frac{2x^2+5x-3}{6x^2-7x+2}=\lim_{x\rightarrow...

Thanks Tim, Excellent, I put them down in book! :)

Oh Yeah! Because we know that Det(AB)=Det(A)Det(B) and Det(A-L)=0 we can prove it directly without induction using the determinant approach. Great idea. I tried to factorize it briefly before I posted the question but I didnt even know the rule you posted so I had no success!..Thanks again Alex

Thanks for the simple answer Dick! I think I got the answer. I got: P(n): A^nx=\lambda^n x P(1) is true Assume P(k) is true. P(k): A^kx=\lambda^k x Multiplying both sides of p(k) by A yields: A^{k+1}x=\lambda^{k}Ax Now we sub in Ax=\lambda x from the definition of...

I edited the question to make it readable as you suggested tiny-tim! And thanks for the welcome. But I'm still confused due to my being not able to factorise it :S

\frac{a}{b}

Thanks, although I still haven't managed to factorise the expression although I did type it up in LaTeX! Homework Statement Prove by induction that the following statement is true for all positive integers n. If \lambda is an Eigenvalue of the square matrix A, then \lambda^n is an eigenvalue...