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Algebric multiplicity
algebric multiplicity wat is the a.m if lambda^2 =0 whether a.m is 1 or 2??
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Priyadarshan Choursiya![best-answer]()
The algebraic multiplicity of an eigenvalue is the number of times it appears as a root of the characteristic polynomial (i.e., the polynomial whose roots are the eigenvalues of a matrix). here you have ( I say @ in place of lamda) @^2 = 0 which imply @ = 0 , @ = 0 i.e. eigen value @ = 0 appears two times therefore algebric multiplicity (0) = 2. suppose (@-k)^p1 × (@ + s)^p2 = 0 is your equation then @= k repeats p1 times, @ = -s repeats p2 times . therefore algebric multiplicity of k is p1, and for (-s) is p2 you can also visit https://youtu.be/9GulyffRHBw see examples which I attached