zzr0ck3r
  • zzr0ck3r
Is it possible to find a pair of two -dimensional sub-spaces 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.]
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Do you have any clue how to start this?
zzr0ck3r
  • zzr0ck3r
nope
across
  • across
Well, a two-dimensional subspace of \(\mathbb{R}^3\) is a plane, right?

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zzr0ck3r
  • zzr0ck3r
um not always, you could have a two dim subspace with 2 linear independent vectors and span a line
zzr0ck3r
  • zzr0ck3r
but either way, this is not the important part of the question.
across
  • across
That's right; you could span two lines that intersect at the origin.

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