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Let B={x,x2,1} et S={x2+x,x1,x+1} be two basis of P2. Let T:P2P2 be a linear transformation such that [T]S,B=102112132 Find a basis of Ker(T) and a

Let B={x,x2,1} et S={x2+x,x1,x+1} be two basis of P2. Let T:P2P2 be a linear transformation such that [T]S,B=102112132 Find a basis of Ker(T) and a basis of Im(T). If p(x)=ax2+bx+c, find T(p)(x).

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