Question

Let T:R3->R3 be multiplication by the matrix
1 0 3
1 2 4
1 8 5

find a basis for the range of T
find a basis for the kernel of T

Answer 1

by reducing the matrix i found this


does it means my range is {(1,0,0),(0,1,0),(0,01)}

and kernel be
(0,0,0)

Answer 2

@Zarkon

Answer 3

@Coolsector

Answer 4

yes

Answer 5

how to check the rank and nullity

Answer 6

@experimentX on this matrix

Answer 7

the rank is 3 of course.

Answer 8

so the nullity is 0?

Answer 9

looks like i need to look on wikipedia
http://en.wikipedia.org/wiki/Rank%E2%80%93nullity_theorem

Answer 10

ok i got it thnx