Let T: P3 P1 by T(ar + bx? + cr + d) = (b- a)x +...

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Let T: P3 P1 by T(ar + bx? + cr + d) = (b- a)x + (c - d). Using the standard bases for P3 and P1, find the matrix representation of T and use this to find Ker A and Col A. What are dim Ker AT and dim Row A? Let T: P3 P1 by T(ar + bx? + cr + d) = (b- a)x + (c - d). Using the standard bases for P3 and P1, find the matrix representation of T and use this to find Ker A and Col A. What are dim Ker AT and dim Row A?