Question 18984: Is the following a linear transformation from R3 to R3:
L(x1,x2,x3) = (x3, x1+2x2-5x3, x1-x2) ?
ok so i've worked on this a while, and i'm wondering: is it correct to show that the formulas
is closed under scalar multiplication and addition? and if it is, does that mean that the answer is yes? thank you so much for your help!
Answer by khwang(438)   (Show Source):
You can put this solution on YOUR website! L(x1,x2,x3) = (x3, x1+2x2-5x3, x1-x2) ?
(FORGET yur wrong idea.)
It is linear, just try to check the linearity directly:
L(a(x1,x2,x3)+b(y1,y2,y3)) = a L(x1,x2,x3) + b L(y1,y2,y3)
Kenny
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