[線代]證方矩陣可表對稱矩陣和反對稱矩陣之和

[playmypig (玩我豬)]

證任何方形的矩皆可表為對稱矩陣和反對稱矩陣之和,而且是唯一的.

Show that for any square matrix A, there exist a symmetric matrix B and a skew-symmetric matrix C such that A=B+C and show this expression is ununique.

卡關了數天也解不出來,有勞各位了,謝謝.

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