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defective
In linear algebra, a defective matrix is a square matrix that does not have a complete basis of eigenvectors, and is therefore not diagonalizable. In particular, an n × n matrix is defective if and only if it does not have n linearly independent eigenvectors. A complete basis is formed by augmenting the eigenvectors with generalized eigenvectors, which are necessary for solving defective systems of ordinary differential equations and other problems.
An n × n defective matrix always has fewer than n distinct eigenvalues, since distinct eigenvalues always have linearly independent eigenvectors. In particular, a defective matrix has one or more eigenvalues λ with algebraic multiplicity m > 1 (that is, they are multiple roots of the characteristic polynomial), but fewer than m linearly independent eigenvectors associated with λ. If the algebraic multiplicity of λ exceeds its geometric multiplicity (that is, the number of linearly independent eigenvectors associated with λ), then λ is said to be a defective eigenvalue. However, every eigenvalue with algebraic multiplicity m always has m linearly independent generalized eigenvectors.
A Hermitian matrix (or the special case of a real symmetric matrix) or a unitary matrix is never defective; more generally, a normal matrix (which includes Hermitian and unitary as special cases) is never defective.
We finally machined the 80% AR10. Turns out the fire/safety detent hole is drilled at an angle preventing the fire/safe selector switch from operating correctly. We drilled the selector switch hole in the jig (EasyJIg Gen2) and it's perfect.
The fire/safe detent hole from the mfg is drilled at...
I am interested in building an Polymer80 Lower, "desk lamp." I know that during the build process some lowers may get damaged or over-machined and you might not be able to complete your project...
I'm guessing that you might not keep it, but if you did, I would like to buy it from you. It's...