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1. 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?
2. (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?

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