题目
题目

Dashboard Online Test 2, March 30

简答题

If it holds that for a nonempty collection of vectors X := \{x_1,\ldots, x_K\} \subset \mathbb{R}^N \sum_{k=1}^K \alpha_k x_k = 0 \; \Rightarrow \; \alpha_1 = \cdots = \alpha_K = 0, they are called [missing word 1] [missing word 2]. Write the first missing word

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思路分析
The problem describes a condition on a set of vectors X = {x1, ..., xK} in R^N: if a linear combination sum_{k=1}^K alpha_k x_k = 0 implies alpha_1 = ... = alpha_K = 0, then the vectors have a specific property. To identify the mis......Login to view full explanation

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Question29 Consider the functions [math] and [math]. Use the Wronskian to decide whether these functions are linearly independent on the interval [math]. Which of the following gives the correct answer and appropriate justification for it? Select one alternative: [math] has nonzero determinant for every value of [math], so the functions are linearly independent. [math]has determinant equal to zero for every value of [math], so the functions are linearly independent. [math]has determinant equal to zero for every value of [math], so the functions are linearly dependent. [math]has nonzero determinant for every value of [math], so the functions are linearly dependent. ResetMaximum marks: 1 Flag question undefined

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