Question

escite eeometrically the effeet of the transformation T 12) Let A-o Define a transformation T by T(x)-Ax. Find the standard mnatrix of the linear transformation T. 13) T: 2-R2 first performs a vertical shear that maps e1 into e1 +2e2, but leaves the vector e2 unchanged, then reflects the result through the horizontal x1-axis.

need in 10 mins

qno 12 A is identity matrix

Answer 1

Identity matsix The T (x): A x xER T: R and T = x identt mahin. mathix that is givem in quedion because A is TA A = 0 0 C C O B 0,0) (o,1,0) 6) TL, 0,0) 1 C A 0,L T(0,L CO,0,0) 0,0,) T (o,0,) A (o,D,) Let e ,00), e, - es= (0,0,1) 0,L, o TX.e t Z.es) T(X2) xT(e,) t j. Tle) -f Z. TIes) Z. 0,0,L) x,0,) be the tiansformadion uith sespet to Tx Ax