Linear Algebra question

5. (i) Show that diferentiation d/dx : R[x]n to R[x]n is a linear map.
Find its rank and nullity.
(ii) Find the matrix A of the the linear map of R3 to itself (with the standard
basis) given by orthogonal projection onto the plane through 0 with normal vector (1, -1, 2)

i can do part i but not sure about ii, any suggestions? :smile:

(edited 11 years ago)

Reply 1

Mark85

16

Original post by number23

5. (i) Show that diferentiation d/dx : R[x]n to R[x]n is a linear map.
Find its rank and nullity.
(ii) Find the matrix A of the the linear map of R3 to itself (with the standard
basis) given by orthogonal projection onto the plane through 0 with normal vector (1, -1, 2)

i can do part i but not sure about ii, any suggestions? :smile:

Read, for example, this