MathGroup Archive: November 2007 [00531]

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Re: Given a matrix A, construct a semi-orthogonal matrix L

To: mathgroup at smc.vnet.net
Subject: [mg83377] Re: Given a matrix A, construct a semi-orthogonal matrix L
From: Szabolcs Horvát <szhorvat at gmail.com>
Date: Sun, 18 Nov 2007 04:58:25 -0500 (EST)
References: <fhmh6q$abc$1@smc.vnet.net>

Tebi wrote:
> Given a matrix A with (m, n) dimension and m<n, I want to construct a
> semi-orthogonal matrix L with dimension (n, n-m) [that is, L'L = I,
> where I denotes an identity matrix with dimension (n-m)] such that AL
> = 0.

Try Orthogonalize@NullSpace[mat]

-- 
Szabolcs

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