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Question: 8 are the following true or false explain your answers...

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(8) Are the following true or false? Explain your answers. (a) Any system of linear equations with strictly less equations than variables has infinitely many solutions. (b) Different sequences of elementary row reductions can trans- form one matrix to distinct matrices in row echelon form (c) A consstent system has exactly one solution. (d) There exist inconsistent homogenous systems. (e) If a homogenous system has strictly less equations than variables, then it has infinitely many solutions.
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