1. The problem statement, all variables and given/known data IF A is nxn matrix, and k(A)=||A||||A^-1|| then a large k(A) means the solution has more significant digits than is k(A) were small true or false? 2. Relevant equations 3. The attempt at a solution Well k(A) is defined as 10^(k) right so the larger the condition number the more significant digits that you shouldnt trust. So if I had 10^(16) I would have approximatley 16 sig figs that I shouldnt use. Therefore I would think the answer is true if condition number is large then there will be more significant digits just not usable ones right?