- #1
DODGEVIPER13
- 672
- 0
Homework Statement
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?
Homework Equations
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 shouldn't trust. So if I had 10^(16) I would have approximatley 16 sig figs that I shouldn't 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?