Please answer these questions Let A be an m x n matrix. Suppose that Ax m b has

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Please answer these questions

Let A be an m x n matrix. Suppose that Ax m b has at least one solution for every b in R"". That is, for every b in R Ax b has either exactly one solution or infinitely many solutions. What are some implications of this? List as many implications as you can. Suppose that Ax b has at most one solution for every b in Rm. That is, for every b in Rm. Ax b has either no solution or exactly one solution. What are some implications ofthis? List as many implications as you can. Suppose that Ax b has eractly one solution for every b in R 1. What are some implications of this? List as many implications as you can.

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