设两个向量组α1,α2,…,αs和β1,β2,…,βs均线性相关,则( ) -题库考试答案搜索网

设两个向量组α₁,α₂,…,α_s和β₁,β₂,…,β_s均线性相关,则( )

单选题

2022-04-02 22:49

A、有不全为0的数λ<sub>1</sub>,λ<sub>2</sub>,…,λ<sub>s</sub>使λ<sub>1</sub>α<sub>1</sub>+λ<sub>2</sub>α<sub>2</sub>+…+λ<sub>s</sub>α<sub>s</sub>=0和λ<sub>1</sub>β<sub>1</sub>+λ<sub>2</sub>β<sub>2</sub>+…λ<sub>s</sub>β<sub>s</sub>=0
B、有不全为0的数λ<sub>1</sub>,λ<sub>2</sub>,…,λ<sub>s</sub>使λ<sub>1</sub>(α<sub>1</sub>+β<sub>1</sub>)+λ<sub>2</sub>(α<sub>2</sub>+β<sub>2</sub>)+…+λ<sub>s</sub>(α<sub>s</sub>+β<sub>s</sub>)=0
C、有不全为0的数λ<sub>1</sub>,λ<sub>2</sub>,…,λ<sub>s</sub>使λ<sub>1</sub>(α<sub>1</sub>-β<sub>1</sub>)+λ<sub>2</sub>(α<sub>2</sub>-β<sub>2</sub>)+…+λ<sub>s</sub>(α<sub>s</sub>-β<sub>s</sub>)=0
D、有不全为0的数λ<sub>1</sub>,λ<sub>2</sub>,…,λ<sub>s</sub>和不全为0的数μ<sub>1</sub>,μ<sub>2</sub>,…,μ<sub>s</sub>使λ<sub>1</sub>α<sub>1</sub>+λ<sub>2</sub>α<sub>2</sub>+…+λ<sub>s</sub>α<sub>s</sub>=0和μ<sub>1</sub>β<sub>1</sub>+μ<sub>2</sub>β<sub>2</sub>+…+μ<sub>s</sub>β<sub>s</sub>=0

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正确答案

D

试题解析

标签：哈尔滨师范大学广播电视学专升本非线性编辑平时作业1

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