Please do not use an online calculator. There are three separate problems

Let S be a linear transformation from R2 to R2 defined by T S - ( 2 7) () Let T be a linear transformation from R2 to R2 defined by 2 T = 2 Determine the matrix of the composition To S: -1 T S -2 -1Which of the following subsets of 1R3X3 are subspaces of R3\"? D A. The 3 x 3 matrices with all zeros in the rst row D B. The symmetric 3 x 3 matrices D C. The noninvertible 3 x 3 matrices D D. The 3 X 3 matrices whose entries are all integers D E. The diagonal 3 x 3 matrices D E The invertible 3 x 3 matrices Which of the following subsets of P2 are subspaces of P2? O A. {p(t) | p(0) = 4} O B. {p(t) | p(-t) = -p(t) for all t} O C. {p(t) | p'(t) is constant} OD. {p(t) | p'(t) + 1p(t) + 6 =0} OE. {p(t) | p(7) = 0} OF. {p(t) | p'(2) = p(1) }