Define the linear transformation T:?3??4 by T(x )=Ax . Find a vector x whose image under T is b (1 pt) Let 4 5 2 -2 5 -3 2 and b-10 -7 2 1 -4 Define the linear transformation T : R3 ? R4 by T(x-Ax Find a vector x whose image under T is b. x= Is the vectorx unique? choose
(1 point) Let 5 -15 50 A=1-1 2 4 | and b=I-12 4 16 」 A linear transformation T : R2 → R3 is defined by T x) = Ax. Find an x in R2 whose image under T is b. X2
(1 point) Let 6 -5 5 16 47 5 4 6 A= and b= 3 3 11 -4 -3 -8 116 40 Define the transformation T:R? R4 by T(2) = Ax. Find a vector x whose image under T is b. = Is the vector x unique? unique
(1 point) Let [ 4 51 [ 51 A = -1 -2 and b = 1 : 1-3 -3] 1-6] Define the linear transformation T : R2 → R3 by T(x) = Añ. Find a vector à whose image under T is b. Is the vector x unique? choose
(1 point) Let 1-11 ſi -1 31 A = 0 1 -1 and b=1-2 L-1 -2 0 [7] Define the linear transformation T:R* R* by T(T) = A. Find a vector a whose image under T is b. Is the vector i unique? choose choose unique Note: In order to get cred not unique all answers must be correct
Previous Problem Problem List Next Problem (1 point) Let 07 A = -5 6 6 and b -3 3 -2 L 9 -437 96 R4 by T) = AE. Find a vector ã whose image under T is . Define the linear transformation T: R3 Is the vector i unique? choose Note: In order to get credit for this problem all answers must be correct
4 1 0 -3 1 If T is defined by Tix)= Ax, find a vector x whose image under Tis b, and determine whether x is unique. Let A and Find a single vector x whose image under Tis b.
Let A= and 6 = Define the linear transformation T:R? +R by T'(X) = Ai. Find a vector # whose image under T' is 6. Is the vector i unique choose choose unique Submit answer not unique
(1 point) Let in = [] and v2 = [:3] Let T : R2 + R2 be the linear transformation satisfying TW) = ( 13 ) and Tlőz) = 1 3 х Find the image of an arbitrary vector -(:) -
need in 10 mins qno 12 A is identity matrix 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. escite eeometrically the effeet of the transformation T 12) Let A-o Define a transformation T by...