I want to solve the linear system of equation
$$AX=B$$
with (Condition Number(A)=7.36*10^25) in maple 12, please help me. thanks.
2026-03-25 16:45:46.1774457146
Solving ill conditioned linear system in maple
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Read your book my friend... If $A$ is invertible, then $X=A^{-1}B$. Assume that you want to calculate $X$ with $3$ significant digits (denoted by s.d.); since $B$ is also known with $3$ s.d., it suffices to calculate $A^{-1}$ with $3$ s.d.. Assume that $A$ is known with $k$ s.d.; since $cond(A)\approx 10^{26}$, $A^{-1}$ is known with $k-26$ s.d. and finally, the required condition (about $k$) is $k\geq 29$. It seems that you know only $3$ s.d. of $A$; then you cannot do it (as Obama).