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October 25th, 2017, 08:19 AM   #1
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Find a basis for the vectors over the reals:

the vectors are (1+i) (1-i) (2+3i) where the vectors are complex numbers that span the reals. Do i just have to set up a system of equations and row reduce it to find the basis vectors and find the rank of the system? Or could i just put coefficients infront of the vectors and set it equal to 0 to test for linear independance, thanks
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October 25th, 2017, 08:43 AM   #2
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This is a very confusing post.

Could you post the original question as worded?
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October 25th, 2017, 11:48 AM   #3
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$\mathbb{C}$ is a 2 dimensional vector space over $\mathbb{R}$ which means any 2 linearly independent vectors is a basis.

I don't understand what the role of the 3 vectors you have supplied is. The span of those 3 vectors is identical to $\mathbb{C}$ (as a vector space) but this is true for only a pair of them or any other linearly independent pair for that matter.
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