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 Zp. Any consistent system of linear equations with coefficient matrix A has exactly pn-rank(A) solutions over Zp.
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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
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