query: How to complete basis?
positive_passages.docid: 16691
positive_passages.text: how to extend a basis
negative_passages.docid: 146690
negative_passages.text: Basis for adjoint representation of $sl(2,F)$
negative_passages.docid: 96530
negative_passages.text: Matrix representation of linear map in this basis
negative_passages.docid: 8638
negative_passages.text: If I know $AB$, how can I calculate $BA$?
negative_passages.docid: 723
negative_passages.text: Is there a constructive way to exhibit a basis for $\mathbb{R}^\mathbb{N}$?
negative_passages.docid: 113074
negative_passages.text: Base 62 conversion
negative_passages.docid: 136160
negative_passages.text: Linear Algebra: Change of Basis Matrix and standard basis
negative_passages.docid: 62065
negative_passages.text: Prove that $v_1, \dots v_n$ is a basis of V.
negative_passages.docid: 102055
negative_passages.text: What is the best base to use?
negative_passages.docid: 154724
negative_passages.text: Every vector space has a basis
negative_passages.docid: 93550
negative_passages.text: How to find the matrix representation of an operator from its action on a basis?
negative_passages.docid: 149267
negative_passages.text: Complete the square on cross terms?
negative_passages.docid: 22732
negative_passages.text: How to find required information in man
negative_passages.docid: 68552
negative_passages.text: Find the representing matrix with the respect to the standard basis
negative_passages.docid: 94735
negative_passages.text: Base and Spans, linear space
negative_passages.docid: 137180
negative_passages.text: Orthonormal basis with specific norm
negative_passages.docid: 39201
negative_passages.text: Atiyah-Macdonald, Exercise 5.4