Let V be the vector space of functions which  have B={sin ?, cos ?} as a basis, and let D  be the differential operator on V. Find the  characteristic polynomial Δ(t) of D.

Elementary Linear Algebra (MindTap Course List)
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Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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Let V be the vector space of functions which
 have B={sin ?, cos ?} as a basis, and let D
 be the differential operator on V. Find the
 characteristic polynomial Δ(t) of D.

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