Úkol 3 Ps is a vector space of real polynomial of degree at most 4 Va, 3, 7, 8,t ER ei it is A: C → Ps (4 ( 9 +

51 ) ) ( ) = ( | (t) = (a + 3) + (a + 4/8 − 2 − 6) t+ +(-B)+(20+ +ôi gỗ +(a+ô). 1. show, that A is linear transformation 2. find kernel, range and rank nullity of 4. 3. 4. check, if A is monomorphic, epimorphic of isomorphic of equation: find the set of all solutions VER (A) (t)=3-t+t² +9³ +5².