Use the graph of to sketch the graph of a. y = g(2x) b. y = ga x 8642x 864228 6 4 22y

M303 Section 1.9 Notes- The Matrix of a Linear Map 9-26-16 Every linear map T:R → R m is a matrix map of form T (x)=Ax for a unique m×n matrix A th Standard basis vectors- ei has a 1 in i spot and 0’s everywhere else o For n≥1 : e = 1,0,0,… ,0 ) 1 e2= (0,1,0,…,0 ) e = (0,0,0,…,1 ) n o Columns of n×n idnntitm matrix o Any linear map T:R → R completely determined by its outputs on ei o Basis vectors span Rn - every vector x ϵR n is linear combination of them x= ( 1x ,2,x n) ¿ ( ,0,0,…,0