Coordinates in the space of functions

Task number: 2544

In the space of real polynomials of degree at most four with the basis \(X=(x^4+x^3,\ x^3+x^2,\ x^2+x,\ x+1,\ x^4+1)\) determine coordinates \([f]_X\) of the following vectors \(f\):

  • Variant 1


  • Variant 2


  • Variant 3


  • Variant 4


Difficulty level: Easy task (using definitions and simple reasoning)
Proving or derivation task
Cs translation
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