Answer to Question #101025 in Linear Algebra for Elizabeth

Question

Let, p Subscript 1 equals negative 1 plus x minus 2 x Superscript 2 Baseline comma p Subscript 2 equals 3 plus 3 x plus 6 x Superscript 2 Baseline comma p Subscript 3 equals 5

Find a basis for the subspace of P2 spanned by the given vectors that fits with the definition below.
If less than 3 vectors are required one or more of the vectors below can be set to zero.
Use the above vectors if possible. i.e. use v Subscript 3 equals 5 instead of v Subscript 3 equals 1.

V1=
V2=
V3=

Answer 1

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