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(Solved): 1. a) Verify that F = (1 + x, 1 + x, 1+ 2x - 2x2) is a basis of F(2) [x]. b) Compute the coordina ...

1. a) Verify that F = (1 + x, 1 + x², 1+ 2x - 2x2) is a basis of F(2) [x].
b) Compute the coordinate vectors [1], [1], [²].

1. a) Verify that F = (1 + x, 1 + x², 1+ 2x - 2x2) is a basis of F(2) [x]. b) Compute the coordinate vectors [1], [1], [²].

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We know that a set is said to form a basis for a vector space off a) The set is L.I (Linearly Independent) b) The set spans the vector space. And if the c

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