2. Let P2(R) be the vector space of polynomials over R up to degree 2. Consider {1+x - 2a?, -1 +x + x?, 1 – x +x²} , {1 – 3x + x2, 1 –- 3x - 2x2, 1- 2x + 3x2}. В B' (a) Show that B and B' are bases of P2(R).
2. Let P2(R) be the vector space of polynomials over R up to degree 2. Consider {1+x - 2a?, -1 +x + x?, 1 – x +x²} , {1 – 3x + x2, 1 –- 3x - 2x2, 1- 2x + 3x2}. В B' (a) Show that B and B' are bases of P2(R).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 34EQ
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