The set B = {- (3+4x²), − (6+3x+8x²), 8 + 6x +8x²} is a basis for P₂. Find the coordinates of p(x) = − (56 +30x + 64x²) relative to this basis: [p(x)] B =

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 69E: Find a basis for R2 that includes the vector (2,2).
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The set B = {− (3 + 4x²), − (6 + 3x + 8x²), 8 + 6x + 8x²} is a basis for P₂. Find the coordinates of p(x)
-
[p(x)]B =
(56 +30x + 64x²) relative to this basis:
Transcribed Image Text:The set B = {− (3 + 4x²), − (6 + 3x + 8x²), 8 + 6x + 8x²} is a basis for P₂. Find the coordinates of p(x) - [p(x)]B = (56 +30x + 64x²) relative to this basis:
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