My Math Forum Find a basis for the vectors over the reals:

 Linear Algebra Linear Algebra Math Forum

 October 25th, 2017, 07:19 AM #1 Member   Joined: Jan 2016 From: Blackpool Posts: 96 Thanks: 2 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
 October 25th, 2017, 07:43 AM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,039 Thanks: 1063 This is a very confusing post. Could you post the original question as worded?
 October 25th, 2017, 10:48 AM #3 Senior Member   Joined: Sep 2016 From: USA Posts: 415 Thanks: 228 Math Focus: Dynamical systems, analytic function theory, numerics $\mathbb{C}$ 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.

 Tags basis, find, reals, vectors

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post JORGEMAL Linear Algebra 1 November 29th, 2014 09:01 PM king.oslo Linear Algebra 0 September 29th, 2014 12:20 PM coolhandluke Linear Algebra 1 September 28th, 2010 03:54 PM md288 Linear Algebra 1 October 23rd, 2009 01:55 AM al1850 Linear Algebra 1 March 16th, 2008 04:57 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top