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Determine whether the following vectors are linear independent in P 3 ( Polynomials of order smaller than 3 ) . 2 , x , 2

Determine whether the following vectors are linear independent in $P_{3} ($ Polynomials of order smaller than $3) . 2, x, 2 x - 1 x + 1, x^{2} - 1, 3$

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Question

Determine whether the following vectors are linear independent in P 3 ( Polynomials of order smaller than 3 ) . 2 , x , 2

Determine whether the following vectors are linear independent in P3(Polynomials of order smaller than 3).2,x,2x-1x+1,x2-1,3

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Determine whether the following vectors are linear independent in $P_{3} ($ Polynomials of order smaller than $3) . 2, x, 2 x - 1 x + 1, x^{2} - 1, 3$