Equivalence classes for an particular relation question

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Homework Statement



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Homework Equations





The Attempt at a Solution



Hi,

If anyone could help me with this I would be very glad! I have said that M=(aij) and M^T=M^-1
therefore if e1 relates v, where v=(x,y,z) then v=(a11,a21,a31) and all of those values can't be simultaneously zero for M^-1 to exist.. can't seem to get any further!
 
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Answers and Replies

  • #2
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So, you'll have to determine what [tex]\{Me_1~\vert~M~\text{orthogonal}\}[/tex] is. Now, do you know what [tex]\|Me_1\|[/tex] is (= the norm of [tex]Me_1[/tex])??
 

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