- #1
VinnyCee
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Homework Statement
For two nonparallel vectors [itex]\overrightarrow{v}[/itex] and [itex]\overrightarrow{w}[/itex] in [itex]\mathbb{R}^3[/itex], consider the linear transformation
[tex]T\left(\overrightarrow{x}\right)\,=\,det\left[\overrightarrow{x}\,\,\overrightarrow{v}\,\,\overrightarrow{w}\right][/tex]
from [itex]\mathbb{R}^3[/itex] to [itex]\mathbb{R}[/itex]. Describe the kernel of T geometrically. What is the image of T?
Homework Equations
I have no idea. Maybe the equations on how to find a kernel and image?
The Attempt at a Solution
I don't know where to even start this exercise! How does one "describe geometrically"?