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Batch-01_BSc_Semester-01_Linear Algebra and Numerical Analysis

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What happens if a set of vectors contains the zero vector?
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When does a set of vectors in ℝ² become necessarily linearly dependent?
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Which property is not required for a subset to be considered a subspace of a vector space?
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In a 4-step method to check linear dependence, what is the purpose of observing zero entries in vectors?
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What condition must be satisfied for a set of vectors to be classified as linearly independent?
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What does the dot product of any two distinct standard basis vectors yield?
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What can be concluded if one vector can be written as a weighted combination of other vectors in the set?
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If vector A = [1, 0] and vector B = [2, 0], what is the relationship between A and B?
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Which of the following is NOT true about the rank of a matrix?
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Which of the following conditions must be met for a matrix to be in row echelon form (REF)?
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