在线名词解释大全 - 高等代数II - 详细

作为线性空间$R^{3}$上的变换,下列$calA$不是线性变换的是()。

A
A.$cal {A}(a_{1},a_{2},a_{3})=(2a_{1}-a_{2}+a_{3},a_{2}-a_{3},2a_{1}+a_{3})$
B
B.${cal A}(a_{1},a_{2},a_{3})=(a_{1},0,a_{2})$;
C
C.${cal A}(a_{1},a_{2},a_{3})=(a_{1},2a_{2},3a_{3})$
D
D. ${cal A}(a_{1},a_{2},a_{3})=(a_{1}^{2},a_{2}-a_{3},a_{3}^{2})$
正确答案:
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