How to calculate algebraic and geometric multiplicity ?

Question : Calculate algebraic and geometric multiplicity of eigen values of the following matrix?\[\left(\begin{matrix}2&0&1&1\\1&2&5&-5\\0&0&3&0\\0&0&1&3\\\end{matrix}\right)\]Answer : Algebraic multiplicity of an eigen value :Algebraic multiplicity of an eigen value k is the algebraic power of the factor (x-k) in the For the…

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