Recent content by papaross

Ok, so if I let A= a b c d then, solving for the nullspace, I would get something like $$t\begin{bmatrix} -2 \\ 0 \end{bmatrix} + s\begin{bmatrix} 0 \\ -0.5\end{bmatrix}$$, meaning $$\begin{bmatrix} -2 \\ 0 \end{bmatrix}, \begin{bmatrix} 0 \\ -0.5\end{bmatrix}$$ spans the nullspace? and...

Homework Statement Find the domain, target space, image, rank and nullity of the linear transformation T(A)=Av, where v= (1, 2) and A is any 2×2matrix. Homework Equations The Attempt at a Solution I believe I know the domain (R2x2 vector space) and target space (R2), but I am not sure how to...