The condition number is given as follows:
$c(B)=\|B\|\|B^{-1}\|$
My questions are:
1. Considering that $B$ is non singular, i have to show a lower bound on $c(B)$ for $B$
2. What is that lower bound if $B=I$?
3. I have this matrix $C=\begin{bmatrix} 1 &0.999 \\ 1 &1.001 \\ \end{bmatrix}$ need to evaluate its condition number using Matlab. (I know that we can use "cond" command for this part, just do not know how")
4. Need to find a vector v around which the solution to $Cv = b$ is not stable
Thanks