Let -2 2 2 -6 A = -2 -2 2 -6 Find the dimension of the kernel and the dimension of the image of the linear transformatin T(7) = Az. dim(Ker(A)) = dim(Im(A)) =| Are the following statements helpful?

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A: Dimensions of ker(A) and I'm(A)

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Q: (3) Construct a linear spline interpolating (-1, 0), (0, 1), (1, 3).

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Q: (5) Let T P₂ → P₁ represented by T(ao + a₁ + a₂x²) = a₁ + 2a₂x. Find kernel of T.

A: We have to find kernel of T.