Is the row space of A still orthogonal to the nulls pace in modular arithmetic ( mod 11) ? Are bases for those subspaces still bases ( mod 11) ?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
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Is the row space of A still orthogonal to the nulls pace in modular arithmetic ( mod 11) ? Are bases for those subspaces still bases ( mod 11) ?

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