Answer to Question #339482 in Linear Algebra for Mmq

Question

Let T: P₂→P₂ 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

Answer 1

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