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5.2 #22
Let T be a linear transformation from P₂ into P₃ over R defined by...5.2 #22
Let T be a linear transformation from P₂ into P₃ over R defined by T(p(x))=xp(x).
(a) Find [T]B,A the matrix of T relative to the bases A={1-x. 1-x^2, x} and B={1,
1+x, 1+x+x^2 , 1-x^3}
(b) Use [T]B,A to find a basis for the range of T
(c) Use [T]B,A to find a basis for the kernel of T
(d) State the rank and nullity of T

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