Showing that two vector spaces are equal.

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jdinatale
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I thought that I should do containment in both directions. I have containment in one direction, but the other is much harder. Any ideas?

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Call ##w_1= v_1,\ w_2 = c_{12}v_1+v_2,\ w_3 = c_{13}v_1+c_{23}v_2 + v_3## Can you solve for the ##v_i## in terms of the ##w_i##?
 

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