4. Let S be the subspace of P₂ defined by S = span{1-x, 1+x, 5, 1-x², 2x}. Find dim (S), and show how you arrived at your result.

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4. Let S be the subspace of P₂ defined by S = span{1 - x, 1+x, 5, 1− x², 2x}. Find dim(S), and show
how you arrived at your result.
Transcribed Image Text:4. Let S be the subspace of P₂ defined by S = span{1 - x, 1+x, 5, 1− x², 2x}. Find dim(S), and show how you arrived at your result.
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