Is Kernel of T a line or a point?

[judahs_lion]

Homework Statement

Linearly speaking the Kernel of T is a ?

Homework Equations

I solved kernel of T to equal {<-5,3,1>}

The Attempt at a Solution

So is Kernel of T is a plane?

 

[VeeEight]

What is the exact question? The kernel of a transformation is a subspace.

 

[vela]

You need to provide way more information. I have no idea what you're asking, what you did, what you mean, etc.

 

[judahs_lion]

T(x,y,z) = (x+2y -z,2x+3y+z,4x+7y-z)
so Kernel T = (-5, 3, 1)

So geometrically speaking the kernel of T is a _______________?

 

[vela]

That's not the kernel of T. How did you solve for the kernel?

 

[Mark44]

T(x,y,z) = (x+2y -z,2x+3y+z,4x+7y-z)
so Kernel T = (-5, 3, 1)

So geometrically speaking the kernel of T is a _______________?

<-5, 3, 1> is not the kernel, but it spans the kernel. What does this mean in terms of other vectors in the kernel?