Please could someone help me with this question, thank you.(adsbygoogle = window.adsbygoogle || []).push({});

Find dim[Ker(D^2 -D: P_3(F_3) ==>P_3(F_3))]

Where dim is dimension, Ker is kernal

D is the matrix

0100

0020

0003

0000

D^2 is the derivative of D is it equals

0020

0006

0000

0000

And F_3 is the field subscript3

so D^2 -D

Should equal

0220

0010

0000

0000

But where do I go from here? I have tried reducing this matrix to row echelon form however this doesn't seem logical, do you have any ideas on finding the dimension of the kernal?

THANK YOU

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# Vector Space, dimensions and kernal rank

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