Linear transformations
13:52
Linear transformations
Feb 20, 2011
Khan AcademySal Khan
SOLVED: Let L be the linear operator on Pn[x] defined by L(p(z)) = p'(x). a) Find the matrix representation of L with respect to the standard basis for Pn[x].b) Find the eigenvalues of C and determine their algebraic and geometric multiplicities.c) Is there a basis for Pn[x] consisting of eigenvectors of L?d) Is L diagonalizable?
SOLVED: Let L be the linear operator on Pn[x] defined by L(p(z…
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