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326.500-12, VL / UE Mathematics for AI III, Niels Lubbes et al., 2025W

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Determine whether is a normed space, where

Remark: You may select one or more answers.

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Consider the following vectors in

, ,

Consider also the vector

Determine the value of the third coordinate of so that is in the span of .

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Consider the following vectors in

, , .

Choose any of the statements being correct, if any:  

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Consider the following vectors in

, , .

Choose any of the statements being correct, if any:  

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Consider the following vectors in

, ,

Consider also the vector

Determine the value of the third coordinate of so that is in the span of .

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Determine whether is a normed space, where

Remark: You may select one or more answers.

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Let be defined as .

Determine whether is a subspace of under the usual vector addition and scalar multiplication.

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Given the following sets of vectors in .

Select those which are linearly independent.  

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