1.1. Find all values of a EC for which the given vector b C is...

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1.1. Find all values of a EC for which the given vector b € C³ is a linear combi- nation of v₁, v₂ and us, where bm V₁2 H V₂ = Va 1.2. Let q, Pi. Pa and pa be the polynomials in P,(C) defined by q(2) 42²+(6+1)= +7 Pi(2) 2² +22+4, P2(3)+3, P₁(2)-2²-42+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 M₁ (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 B₁, B₂ and B, in U such that i Uspan (B₁, B₂, B). 1.1. Find all values of a EC for which the given vector b € C³ is a linear combi- nation of v₁, v₂ and us, where bm V₁2 H V₂ = Va 1.2. Let q, Pi. Pa and pa be the polynomials in P,(C) defined by q(2) 42²+(6+1)= +7 Pi(2) 2² +22+4, P2(3)+3, P₁(2)-2²-42+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 M₁ (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 B₁, B₂ and B, in U such that i Uspan (B₁, B₂, B).