a, The vectors v1 = < 0, 2, 1 >, v2 = < 1, 1, 1...

a, The vectors v1 = < 0, 2, 1 >, v2 = < 1, 1, 1 > , v3 = < 1, 2, 3 > , v4 = < -2, -4, 2 > and v5 = < 3, -2, 2 > generate R^3 (you can assume this). Find a subset of {v1, v2, v3, v4, v5} that forms a basis for R^3.

b. v1 = < 1, 0, 0 > , v2 = < 1, 1, 0 > and v3 = < 1, 1, 1 > is a basis for R^3 (you can assume this.) Given an arbitrary vector w = < a, b, c > write w as a linear combination of v1, v2, v3.

c. Find the dimension of the space spanned by x, x-1, x^2 - 1 in P2 (R).

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Expert Solution

Colby Messinger answered 1 year ago

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