query: Linear independence of duplicate vectors
positive_passages.docid: 17087
positive_passages.text: Question concerning linear combinations of vectors and linear independence in Linear Algebra.
negative_passages.docid: 140711
negative_passages.text: Linear independence of images by $A$ of vectors whose span trivially intersects $\ker(A)$
negative_passages.docid: 118025
negative_passages.text: Kernel of composition of linear transformations
negative_passages.docid: 3040
negative_passages.text: Independence of points from same underlying function
negative_passages.docid: 113326
negative_passages.text: Proving orthogonality of vectors in a complex vector space
negative_passages.docid: 83449
negative_passages.text: Proof with 3D vectors
negative_passages.docid: 7207
negative_passages.text: Statistics: sequences of independent and identically distributed random variables
negative_passages.docid: 55752
negative_passages.text: Prove that $n+1$ vectors in $\mathbb{R}^n$ cannot be linearly independent
negative_passages.docid: 94077
negative_passages.text: Proof of linear independence of $e^{at}$
negative_passages.docid: 103780
negative_passages.text: Independence of disjoint events
negative_passages.docid: 27478
negative_passages.text: Proof that two basis of a vector space have the same cardinality in the infinite-dimensional case
negative_passages.docid: 72391
negative_passages.text: linear dependence proof using subsets
negative_passages.docid: 115954
negative_passages.text: how to find maximal linearly independent subsets
negative_passages.docid: 65271
negative_passages.text: Find the missing and duplicate elements in an array in linear time and constant space
negative_passages.docid: 1316
negative_passages.text: Reverse Triangle Inequality in vector space
negative_passages.docid: 42495
negative_passages.text: Determine if the following sets of vectors are linearly independent
negative_passages.docid: 148454
negative_passages.text: how many linearly independed vectors combinations may I extract from a set of vectors