Home /
Expert Answers /
Algebra /
nbsp-let-nbsp-p2-nbsp-be-the-vector-space-of-polynomials-of-degree-nbsp-2-nbsp-or-less-consider-t-pa341
(Solved):
Let P2 be the vector space of polynomials of
degree 2 or less. Consider t ...
Let P2 be the vector space of polynomials of
degree 2 or less. Consider the following two ordered
bases
of P2:B={?1+x+x2, ?1+x2, ?1?x},C={2?x+x2, 2?2x+x2, 3?2x+x2}.
Find the change of basis matrix from the basis B to
the basis C.
[id]BC= []
Find the change of basis matrix from the basis C to
the basis B.
[id]CB= [
Let P2 be the vector space of polynomials of degree 2 or less. Consider the following two ordered bases of P2: B = > {-1+3+x, -1+z?, -1-2}, {2 – x + x², 2 – 2x + x², 3 – 2.c + x2}. ? a. Find the change of basis matrix from the basis B to the basis C. 3 2 -1 [id] = 1 2 1 -3 -3 0 b. Find the change of basis matrix from the basis C to the basis B. [id]B