Problem

Suppose A is an n × n matrix with the property that the equation Ax = 0 has only the tri...

Suppose A is an n × n matrix with the property that the equation Ax = 0 has only the trivial solution. Without using the Invertible Matrix Theorem, explain directly why the equation Ax = b must have a solution for each b in ℝn.

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Solutions For Problems in Chapter 2.3