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Is it possible to find a pair of two dimensional subspaces U and V of R^3 such that U intersection V = {0}? Prove your answer. Give a geometricle interpretation of your conclusion. [ hint: let {u_1,u_2} and {v_1,v_2} be bases for U and V, respectively. Show that u_1,u_2,v_1,v_2 are linearly independent.]
 one year ago
 one year ago
Is it possible to find a pair of two dimensional subspaces U and V of R^3 such that U intersection V = {0}? Prove your answer. Give a geometricle interpretation of your conclusion. [ hint: let {u_1,u_2} and {v_1,v_2} be bases for U and V, respectively. Show that u_1,u_2,v_1,v_2 are linearly independent.]
 one year ago
 one year ago

This Question is Closed

zordoloomBest ResponseYou've already chosen the best response.0
Do you have any clue how to start this?
 one year ago

acrossBest ResponseYou've already chosen the best response.1
Well, a twodimensional subspace of \(\mathbb{R}^3\) is a plane, right?
 one year ago

zzr0ck3rBest ResponseYou've already chosen the best response.0
um not always, you could have a two dim subspace with 2 linear independent vectors and span a line
 one year ago

zzr0ck3rBest ResponseYou've already chosen the best response.0
but either way, this is not the important part of the question.
 one year ago

acrossBest ResponseYou've already chosen the best response.1
That's right; you could span two lines that intersect at the origin.
 one year ago
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