Let L: P. → P3 be a linear transformation defined as L(p(x)) = - 10p' +5p" for any p(x) E P4. a) Determine Ker(L). b) Fi

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Let L P P3 Be A Linear Transformation Defined As L P X 10p 5p For Any P X E P4 A Determine Ker L B Fi 1 (146.6 KiB) Viewed 347 times

Let L: P. → P3 be a linear transformation defined as L(p(x)) = - 10p' +5p" for any p(x) E P4. a) Determine Ker(L). b) Find rank(L) and nullity (L). c) Is Lone-to-one? d) Find L(x2-9). e) Find the coordinate vector of L(x2-9) with respect to the basis S = {x2+x+1,x+1, 1} in P3.