Find vectors in Orthogonal basis set spanning R4

  • #1
1
0
An orthogonal basis set spanning R4 has four vectors, v1, v2, v3 and v4.
If v1 and v2 are
[ −1 2 3 0 ] and [−1 1 −1 0 ]
find v3 and v4.

Please explain this in a very simple way.
 

Answers and Replies

  • #2
member 587159
An orthogonal basis set spanning R4 has four vectors, v1, v2, v3 and v4.
If v1 and v2 are
[ −1 2 3 0 ] and [−1 1 −1 0 ]
find v3 and v4.

Please explain this in a very simple way.

You have to find ##v_3, v_4## such that those 2 vectors are orthogonal to ##v_1, v_2## (hint: Gramm-Schmidt)
 
  • #3
member 587159
please write the formula to find v3 and v4.

You should do that yourself. Nobody is going to make your homework.
 

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