Unformatted text preview: RS . Hint: such a vector v satisﬁes the equation RS ( v ) = v . 5. Let A and B be the matrices of the rotations R and S in Problem 2. Find a change of coordinate matrix Q such that B = Q1 AQ . 6. Let V be a ﬁnite dimensional vector space. Let α , β , γ and δ be ordered bases of V . (a) If the change of coordinate matrices [ I ] β α and [ I ] δ γ are equal, does it follow that α = γ and β = δ ? (b) If [ I ] β α = [ I ] γ α , does it follow that β = γ ? Justify your answers....
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 Fall '08
 GUREVITCH
 Linear Algebra, Algebra, Transformations, finite dimensional vector, Invertible Linear Transformations, Haiman Problem Set

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