Find the 3 times 3 matrix A where (I/A) rightarrow eco (C/D) and Let C be as above to find D, where Find new 3 times 3 matrices C and D such that (Part of the problem here is to find values for the wild-card entries *.) Let L : R2 rightarrow R2 be a linear transformation thatsatisfies Find a 2 times 2 matrix A so that one has y = Lx doubleheadarrow y = Ax, for al x R2 CHAPTER 1. LINEAR TRANSFORMATIONS AND MATRICES Solution: We will use (1.3.5). We need to calculate L(e(1)) and L(e(2)) by using the information above and the fact that L is a linear transformation. Thus L must satisfy (1.2.3). Since it follows from (1,2,3) that As a result, one obtains
