9 Consider the following basis B of P B 1 x r x 1 2x 4x of P Notation E 1 2 z2 is the standard basis of P 3 a Directly from the

Question

9 Consider the following basis B of P B 1 x r x 1 2x 4x of P Notation E 1 2 z2 is the standard basis of P 3 a Directly from the definition of coordinates if p z B 5 find p z b Directly from the definition of coordinates if g x 3 4x 5x find g x B c Find the change of basis matrix PE B Use this matrix to solve problem 9 a d Find the change of basis matrix PB E Use this matrix to solve problem 9 b

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