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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

1 vote
1 answer
82 views

Augmenting orthonormal system into complete orthonormal system in a numerically stable way

Let us suppose we have a, say, 10 dimensional real space with 3 orthogonal unit vectors given. How do I complete this orthonormal system with 7 additional vectors into a complete ONS in a way that is …
MrX's user avatar
  • 45
2 votes
0 answers
525 views

Inverting a matrix with entries equal to positive or negative infinity

I would like to define an inverse on matrices whose entries may be positive or negative infinity. To formulate my problem precisely, suppose that I have a matrix $A$ and another matrix $B$. How do I …
MrX's user avatar
  • 45