A 2 let the matrices be given

A=(,=(0)c=()(R).

(a) How can the multiplication of A, B,C by a vector v € R2 be geometrically

interpret?

(b) Specify the matrix D € M2(R), which represents a vector v € R2 on a quarter of its

Length1 shortened. (Show that the matrix really meets this requirement.)

(c) Look at the pictures

T1, T2, T3: R2 -> R2, T1: x+> Ax, T2: x+> Bx, T3: x- Cx

Which matrix do the figures T1 o T2 and T2 o T3 correspond to in each case?

(1,5 + 1 + 2,5 Points)