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Consider a homogeneous system of linear equations with m equations and n variables. (i) Prove that this...

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Advance Math

  1. Consider a homogeneous system of linear equations with mequations and n variables.

    1. (i) Prove that this system is consistent.

    2. (ii) Prove that if m < n then the system has infinitely manysolutions. Hint: Use r (the number of pivot columns) of theaugmented matrix.

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