Linear Transformations Problem

[RandR]

Hello,
Can someone help me with this problem? Thanks in advance
Let T be a linear transformation such that T (v) = kv for v in R^n.
Find the standard matrix for T.

 

[RandR]

Linear Transformations Problem - Please Help

Hello,
Can someone help me with this problem? Thanks in advance
Let T be a linear transformation such that T (v) = kv for v in R^n.
Find the standard matrix for T.

 

[robphy]

Can you show your attempt?
Do you know what an eigenvector is?

 

[Dick]

Pick the usual basis in R^n, evaluate T on those basis vectors. The results are the column vectors of the matrix of T. What does it look like?

 

[HallsofIvy]

Cute (and almost trivial) problem!