1
Álgebra Linear
UMG
2
Álgebra Linear
UMG
1
Álgebra Linear
UMG
1
Álgebra Linear
UMG
1
Álgebra Linear
UMG
9
Álgebra Linear
UMG
2
Álgebra Linear
UMG
1
Álgebra Linear
UMG
2
Álgebra Linear
UMG
3
Álgebra Linear
UMG
Texto de pré-visualização
15 Let F be an arbitrary field We define the derivative of px Σ k0 to n ak xk Fx to be Dpx Σ k1 to n k ak xk1 Let px qx Fx and let n and m be nonnegative integers Prove the following statements a Dpx qx Dpx Dqx b Dapx aDpx for any a F c Dxn xm xn Dxm Dxn xm d Dpx xm px Dxm Dpx xm e Dpx qx px Dqx Dpx qx f x a2 divides px if and only if a is a zero of both px and Dpx g Give a proof of Lemma 428 using part f
1
Álgebra Linear
UMG
2
Álgebra Linear
UMG
1
Álgebra Linear
UMG
1
Álgebra Linear
UMG
1
Álgebra Linear
UMG
9
Álgebra Linear
UMG
2
Álgebra Linear
UMG
1
Álgebra Linear
UMG
2
Álgebra Linear
UMG
3
Álgebra Linear
UMG
Texto de pré-visualização
15 Let F be an arbitrary field We define the derivative of px Σ k0 to n ak xk Fx to be Dpx Σ k1 to n k ak xk1 Let px qx Fx and let n and m be nonnegative integers Prove the following statements a Dpx qx Dpx Dqx b Dapx aDpx for any a F c Dxn xm xn Dxm Dxn xm d Dpx xm px Dxm Dpx xm e Dpx qx px Dqx Dpx qx f x a2 divides px if and only if a is a zero of both px and Dpx g Give a proof of Lemma 428 using part f