## 每週問題 April 15, 2013

Show that any $n\times n$ matrix $A$ is the sum of two invertible matrices.

$\lambda_1,\ldots,\lambda_n$$A$ 的特徵值。考慮

$\displaystyle A=\frac{1}{2}(A+\mu I)+\frac{1}{2}(A-\mu I)$

PowSol-April-15-13