Identify R+1 with the set Pn of polynomials of degree ≤n, via the corre- spondence (any ao) → ant + + a₁t + ao. Let D: P → P be the differentiation operator. Prove D is nilpotent. n n

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A: The given statement is False.

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A: LET MATRIX IS A=1  0   2  40  1-3-13  4-6   80-1   3  4 NOW, THE KERNEL OF A DEFINED AS-:…

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A: if you find my answer helpful please put thumbs up. thank you. the required solution is given below…

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