(15%) Let x
1, x
2, and x
3 be linearly independent vectors in R
nand let
y1=x1 + x2, y2 =2x3-2x1,y3 =3x2+ 3x3
Are y1 y2, and y3 linearly independent? If it is true, please explain your reason; otherwise, please show that there are nontrivial linear combinations of y1 ，y2，y3 that equal 0.
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