(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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?

2. Relevant equations

I have no idea. Maybe the equations on how to find a kernel and image?

3. The attempt at a solution

I don't know where to even start this exercise! How does one "describe geometrically"?

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# Homework Help: LINEAR ALGEBRA - Describe the kernel of a linear transformation GEOMETRICALLY

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