Question
1.1. Find all values of a EC for which the given vector b C is a linear combi- nation of v, v and us,
1.1. Find all values of a EC for which the given vector b C is a linear combi- nation of v, v and us, where bm V2 H V = Va 1.2. Let q, Pi. Pa and pa be the polynomials in P,(C) defined by q(2) 42+(6+1)= +7 Pi(2) 2 +22+4, P2(3)+3, P(2)-2-42+4 w Find all values of bEC for which q is a linear combination of pi, pa and pa. THE 1.3. Let U (A E M (F): AT-A). We saw in class that this is a subspace of the F-vector space M.(F) of 3 x 3 matrices. Find three matrices B, B and B, in U such that i Uspan (B, B, B).
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Elementary Linear Algebra with Applications
Authors: Howard Anton, Chris Rorres
9th edition
471669598, 978-0471669593
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