Determine which of the following transformations are linear transformations. a. the transformation tt defined by t(x1,x2,x3)=(x1,x2,−x3)t(x1,x2,x3)= (x1,x2,−x3) b. the transformation tt defined by t(x1,x2,x3)=(x1,0,x3)t(x1,x2,x3)=(x 1,0,x3) c. the transformation tt defined by t(x1,x2,x3)=(1,x2,x3)t(x1,x2,x3)=(1 ,x2,x3) d. the transformation tt defined by t(x1,x2)=(2x1−3x2,x1+4,5x2)t(x1,x2) =(2x1−3x2,x1+4,5x2). e. the transformation tt defined by t(x1,x2)=(4x1−2x2,3|x2|)t(x1,x2)=(4 x1−2x2,3|x2|).