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线性代数 求大神 第四题
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|A+B| = |a1+a3, a2+a1, a3+2a2|
= |a1, a2+a1, a3+2a2| + |a3, a2+a1, a3+2a2|
= |a1, a2, a3| + |a3, a2+a1, 2a2|
= |A| + 2|a3, a2+a1, a2|
= |A| + 2|a3, a1, a2|
= |A| + 2|a1, a2, a3| = 3 |A| = 6.
= |a1, a2+a1, a3+2a2| + |a3, a2+a1, a3+2a2|
= |a1, a2, a3| + |a3, a2+a1, 2a2|
= |A| + 2|a3, a2+a1, a2|
= |A| + 2|a3, a1, a2|
= |A| + 2|a1, a2, a3| = 3 |A| = 6.
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