Let T. R ^ 3 -> R ^ 3 defined T=(x, y, z) = (x+2y -z, y + z , x+y-2z) be a linear transformation , Identify basis corresponding to T, suppose this basis has a set and check orthonormality, Also find orthonormal basis for this supposed set. Consider this supposed set of vectors has a matrix and check for QR & SVD decompositions. ​