Let Let S, T : C2 rightarrow C2 be the linear transformations defined for all x C2 by S (x) = Ax, T (x) = Bx. What is the matrix of the linear transformation S + T? What is the matrix of the linear transformation 2T? What is the matrix of the linear transformation SoT? (Find the matrix C so that for all x C2, (S o T) (x) = Cx. )
Show transcribed image text Let Let S, T : C2 rightarrow C2 be the linear transformations defined for all x C2 by S (x) = Ax, T (x) = Bx. What is the matrix of the linear transformation S + T? What is the matrix of the linear transformation 2T? What is the matrix of the linear transformation SoT? (Find the matrix C so that for all x C2, (S o T) (x) = Cx. )