Answer to Question #339482 in Linear Algebra for Mmq

Question #339482

Let T: P2P2 be the mapping defined by

T(a0 + a1x + a2x2) = 3a0 + a1x + (a0 + a1)x2

i) Show that T is linear

ii) Find a basis for the kernel of T

iii) Find a basis for the range of T


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