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    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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    (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?
    Read, for example, this
 
 
 
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