Prove the following corollary to the Rank Theorem: Let A be an m n matrix with

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Prove the following corollary to the Rank Theorem:
Let A be an m × n matrix with entries in Z_p. Any consistent system of linear equations with coefficient matrix A has exactly p^n-rank(A) solutions over Z_p.

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Linear Algebra A Modern Introduction

ISBN: 978-0538735452

3rd edition

Authors: David Poole

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Question Posted: Nov 03, 2018 07:07 AM

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Prove the following corollary to the Rank Theorem: Let A be an m n matrix with

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Recall the Rank Theorem which applies to systems over Z p not just R n says If the sy...View the full answer

Linear Algebra A Modern Introduction

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