Solved: PROBLEM 31ELet A be a 3 × 2 matrix. Explain why

Chapter 1, Problem 31E

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QUESTION:

Let A be a 3 × 2 matrix. Explain why the equation Ax = b cannot be consistent for all b in \(\mathbb{R}^{3}\). Generalize your argument to the case of an arbitrary A with more rows than columns.

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QUESTION:

Let A be a 3 × 2 matrix. Explain why the equation Ax = b cannot be consistent for all b in \(\mathbb{R}^{3}\). Generalize your argument to the case of an arbitrary A with more rows than columns.

ANSWER:

Solution :Step 1 : Let A be a 3 × 2 matrix. Explain why the equation Ax = b cannot be consistent for all b in . Generalize your argument to the case of an arbitrary A with more rows than columns.

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