Suppose A is an mn matrix with singular values maxmin. Suppose min>0. Suppose that all norms are 2 -norms (vector or matrix operator norms). Define F(x)=Ax. Consider the worst case condition number (A)=maxx=0DF(x)F(x)x Show the following formula holds if n>m, if n=m, or if n0. Suppose that all norms are 2 -norms (vector or matrix operator norms). Define F(x)=Ax. Consider the worst case condition number (A)=maxx=0DF(x)F(x)x Show the following formula holds if n>m, if n=m, or if n