Problem on concrete counter example


Assignment:

Suppose A is a 3 × 5-matrix of rank 3.
Is the linear system AX = B consistent for every B ∈ R3 ?

  • If yes, explain why.
  • If no, provide a concrete counter-example (concrete = with numbers).

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Problem on concrete counter example
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