Invariant subspaces of linear maps: Matrices and coordinate transformations
Characteristic polynomial of a linear map
Let #P_2# be the vector space of all polynomials of degree at most #2# in #x# and let #L:P_2\to P_2# be the linear map defined by \[L(p(x)) = (4 x-8)\cdot\frac{\dd}{\dd x}(p(x))\]
Determine the characteristic polynomial of #L# as a function of #t#.
Determine the characteristic polynomial of #L# as a function of #t#.
\(p_L(t)=\) |
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