Question: 7. Consider Te L(IR-) defined by T(2 ) = ( ) ( 23 ) . 2 - (1) ER Let {en, ez} and {f1,

7. Consider Te L(IR-) defined by T(2 ) = ( " ) ( 23 ) . 2 - (1) ER Let {en, ez} and {f1, fo} be the bases of R2 given as e = ( b ). e= (1): 1= (1). 12=(7) (1) (3 pts) Find the matrix of transition of bases from {en, ez} to {f1, f2}. (2) (4 pts) Find the matrices which represent T' with respect to the bases {en, ez} and {f1. f2). respectively. (3) (4 pts) Show that the two matrices found in (2) are similar and indicate how they are related by a similarity relation. (4) Compute (1 pt) det (7'2022)

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