In Exercises 1-10, find a generating set for each subspace.--> this is only for question 9

LL-3s+1] J 6] | 4 s+ : ] . 5. [ |:29 _ Ii| SR i In Exerctsfes 27-34, find a generating set for the null space of each matrix. s+ 3t g 0 r+3s 2. [ i o 3] 0 6. = g0 || R*:r,s, and t are scalars 1 2 0 r2t 28. 0 -1 1 r+s : % 2 4s 3t 4. 1 -1 4 7 0 R*:r,s, and t are scalars 2091 21 -3 5 3rt -2 0 4 2 rs+3t 1T 1 2r t . 0 -1 -3 8. 5 R*: r,s, and are scalars 30. i 1 1 ~2r+ s+t 0 =2 -5 25 5t i i 21 3Jr+ s2 4, -1 0 -5 3 9. rds 43t R*:r,s, and are scalars 31. - 5 o [ Rk -' 1 16 2 1 10. 17 7542 cpa. 1 s and s are scalars 3213 21 6 3 [ 3t J 0 =% 1 F i rt ; . 1 -3 0 1 =2 =2 In Exercises 11-18, determine whether each vector belongs to 3 2 -6 -1 0 2 5 Null A, where ' ' 1 3 2 3 -1 2 1 -2 -1 0 1 0 -1 =3 1 4 A=| 0 1 3 =21, 34 2 -1 -1 =8 3 9 -2 3 -1 2 =1 1 1 5 =2 -6 0 1 1 2 -1 =3 1 1 1 In Exercises 3542, find generating sets for the range and null 11. _i 12. [1] 13. _; space of each linear transformation. -1 2 i) X 5. T X2 = [x1 +2xz x3] 2 1 1 X3 0 -1 -3 X x4+ 2 14. 5 135. 3 16. 5 36. T [xz]) = [?-xl i din 3 4 6 N L] (; 2 17:1 3 8. | 2 1 ) In Exercises 19-26, determine whether each vector belongs to i ( Col A, where A is the matrix used in Exercises 11-18. ( / 2 1 1 19: | =4 20. 3 21. | -4 0. T 3 -1 2