- #1
succubus
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I thought this problem was pretty straightforward, but I can't seem to match the answers in the back of the book.
The problem is: Find the determinant of the following linear transformation.
T(v) = <1, 2, 3> x v (where the x means cross product)
from the plane V given by x + 2y + 3z = 0
So I find the basis vectors
<-2, 1, 0> and <-3, 0, 1>
And I perform the transformation by
T( <-2, 1, 0>) = <-3, 6, 5>
T(<-3, 0, 1>) = < 2, 8, 6>
And so I get the 2 column vectors to be
| -3 2 |
| 6 8 |
| 5 6 |
I know this is so off, but what am I doing wrong exactly?
I can get the others but this one is giving me fits and I know it has to be so simple...
The problem is: Find the determinant of the following linear transformation.
T(v) = <1, 2, 3> x v (where the x means cross product)
from the plane V given by x + 2y + 3z = 0
So I find the basis vectors
<-2, 1, 0> and <-3, 0, 1>
And I perform the transformation by
T( <-2, 1, 0>) = <-3, 6, 5>
T(<-3, 0, 1>) = < 2, 8, 6>
And so I get the 2 column vectors to be
| -3 2 |
| 6 8 |
| 5 6 |
I know this is so off, but what am I doing wrong exactly?
I can get the others but this one is giving me fits and I know it has to be so simple...