- #1
mrroboto
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Homework Statement
Let T (element of L(R^2,R^2) ) be the linear map T(a,b) = (a+b, 2a +2b)
A) What is the kernal of T
B) What is the image of T
C) Give the matrix for T in the standard basis for R^2
Homework Equations
Kernal of T = {v element of V st T(v) = 0}
Image of T = {w element of W st T(v) = w}
I'm not sure about the matrix
The Attempt at a Solution
I'm really not sure where to go with this. In this case, there are two variable (a,b) instead of 1 variable (v), so I don't know how either the kernal or the image work.
I don't know what standard basis means, and I can't find it in my notes.
Can someone help me?