Etagple 16. let t r r' be a linear map such that the null space of t is (( y,2, w) e r:x+ y+z+ w= 0} and the rank of (t -41,) is 3. ifthe minimal polynomial of

Etagple 16. Let T R R' be a linear map such that the null space of T is (( y,2, w) E R:x+ y+z+ w= 0} and the rank of (T -41,) is 3. Ifthe minimal polynomial of T is (GATE-2015) x(r-4)", then a is equal to .