1. Determine whether the following functions are linear transformations. If they are, prove it; if not, provide a counterexample to one of the properties:(a)T:R2?R2, withT[xy]=[x+y y

SOLVE THE FOLLOWING: 1. WRITE THE VECTOR V= ( 1, -2, 5) AS A LINEAR COMBINATION OF VECTORS U= (1, 1, 1 ), U2 = ( 1, 2, 3 ) AND U3 = ( 2, -1, 1 ). 2. DETERMINE WHETHER LET V= ( 1, 5, -1) IS IN LINEAR COMBINATIONS OF THE VECTORS. V1 = ( 1, 4, 3 ) V2 = ( 1, 2, 1 ) V3= ( 2, 1, 6 )