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C++ programming to find an orthonormal basis for R^n

Given K vectors in n-dimensions, i.e. V={v_1, v_2, ..., v_k} in R^n, such that they are orthogonal to each other and k<n. Find a set of (n-k) vectors that form an orthonormal basis for R^n along with V.

The problem can also be re-stated as find an orthonormal basis of the null space of a matrix of dimension, k*n.

You can use the concept given here or any other concept as you like,

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We cannot use any libraries, all codes have to be written and must be in C++ and must be in basis C++ like using functions, arrays, etc.

スキル: アルゴリズム, C プログラミング, C++プログラミング, 数学, ソフトウェアアーキテクチャ

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bchandra1955

Professional engineer with 40 years of experience in academic support ..................................................

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MathsMasterA

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meena25jan

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MichealSMoreno

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Selim6000

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bdkrug

I happen to love linear algebra already so this would be fun. Can do in C++ pretty quickly but must work around second job. Will solve with or without you accepting the bid.

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mmerzban

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sahilmanchanda92

I understand the concepts of orthogonal basis. We can apply gram Schmidt process. I have decent knowledge in c++. Can implement it in one day. Relevant Skills and Experience Underdtanding of linear algebra, proficient もっと

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