- #1
Dank2
- 213
- 4
consider the two vectors v1 = (3i, 2), v2 = (-3, 2i). in C^2
Above C we get, v1 * i = v2, therefore they are dependent.
Now above R, we can't see that they are dependent.
Why if i take the determinant of those vectors i get get 0 |v1 v2| = 2x2 matrix = 0 ( which means two column vectors are independent). Does the determinant works only above C in this case because above R they are independent and yet we get same result of the determinant?
Above C we get, v1 * i = v2, therefore they are dependent.
Now above R, we can't see that they are dependent.
Why if i take the determinant of those vectors i get get 0 |v1 v2| = 2x2 matrix = 0 ( which means two column vectors are independent). Does the determinant works only above C in this case because above R they are independent and yet we get same result of the determinant?