设a1,a2,a3为3维列向量,行列式|a1 a2 a3|=d,则|3a1+a2 2a1 a3|=
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设a1,a2,a3为3维列向量,行列式|a1 a2 a3|=d,则|3a1+a2 2a1 a3|=
![设a1,a2,a3为3维列向量,行列式|a1 a2 a3|=d,则|3a1+a2 2a1 a3|=](/uploads/image/z/18468420-60-0.jpg?t=%E8%AE%BEa1%2Ca2%2Ca3%E4%B8%BA3%E7%BB%B4%E5%88%97%E5%90%91%E9%87%8F%2C%E8%A1%8C%E5%88%97%E5%BC%8F%7Ca1+a2+a3%7C%3Dd%2C%E5%88%99%7C3a1%2Ba2+2a1+a3%7C%3D)
|3a1+a2 2a1 a3|
=|a2 2a1 a3+|3a1 2a1 a3|
=|a2 2a1 a3|+0
=-| 2a1 a2 a3|
=-2^3| a1 a2 a3|
=-8| a1 a2 a3|
=-8d
=|a2 2a1 a3+|3a1 2a1 a3|
=|a2 2a1 a3|+0
=-| 2a1 a2 a3|
=-2^3| a1 a2 a3|
=-8| a1 a2 a3|
=-8d
设a1,a2,a3为3维列向量,行列式|a1 a2 a3|=d,则|3a1+a2 2a2 a3|=
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