Question

Let T: R2*5 + P be a one-to-one linear transformation. What is dim(range())?

Answer 1

d T -P a ene - to- Bne Linear ngomation kinear tuamaermatian T () - оg Ond T n-o - nl m- зoo then there decs not east Auth that T ()= O vter eeawar 0 and T)- dake Then t in NOT a pmtadietion tho deNoT R, Auch 0 amd T(3)- Gne -to-bne T()-5 wWas ka T2 Scanned with CS CamScanner

theorem rank (T)- ()+ mllity r)dimomain (1) ramkT)+ and Jank (T)w ( range(T)) multy (T)-A (kemel ) (70 nulhiy inang(T)) - mdma ) (range (71)- ) r)d (TR) dx 5 Scanned with CS CamScanner