Saturday, April 30, 2016

matrices - Determinant matrix $3 times 2$

I need to verify the linear dependence or independence of $3 \times 2$ complex matrix, how do I compute the determinant? I would use the row reduced echelon form but I have no idea about how to do that with complex numbers, can I divide for the "complex number" when row reducing or my operations of row reduction must be limited to real numbers?

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analysis - Injection, making bijection

I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...