求行列式 的值。

Answer and explanation

Correct answer: A. 1

  1. Step 1: 沿第一列展開:。
  2. Step 2: 化簡得 。
Answer
1.
Why not the others: 40:只算了三條主對角線方向的乘積,漏掉相減的項;-1:展開時整體的正負號弄反;-79:按第一列展開時忘了交錯正負號。

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求行列式 |1 2 3; 0 1 4; 5 6… | GSAT (Taiwan University Entrance)