Suppose A is n × n and the equation Ax = b has a solution

Chapter 2, Problem 24E

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QUESTION:

Problem 24E

Suppose A is n × n and the equation Ax = b has a solution for each b in ℝn. Explain why A must be invertible. [Hint: Is A row equivalent to In].

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QUESTION:

Problem 24E

Suppose A is n × n and the equation Ax = b has a solution for each b in ℝn. Explain why A must be invertible. [Hint: Is A row equivalent to In].

ANSWER:

Solution 24E

Consider the matrix A with the solution is =

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