Correct Answer:- (c) (-11,-8)
Explanation:- T:R3 to R2 is a Linear transformation.
Properties of Linear tranformation - (a) T(a+b)=T(a)+T(b)
(b) T(ka)=kT(a)
In short T(ak+bk')=kT(a)+k'T(b)
Given T(1,0,2)=(2,-1)
T(0,1,-1)=(5,2)
(2,-3,7)= 2(1,02)-3(0,-3,3)
T(2,-3,7)=2T(1,0,2)-3T(0,3,-3)
=2(2,-1) -3(5,2)
= (4,-2)-(15,6)
= (-11,-8)............(1) (c)
(pleasse like if solution is helpful)
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T:R R2 is a linear transformation with T(1,0, 2) = (2, 1) and T(0,1,-1) = (-5,2). It follows that T(2, -3,7) is equal to Select one: 0 a. (-11, -8) O b. (2, 3) c (19, -1) d. not enough information is given to determine the answer e(-3,3)
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