(4 1 4 1 4 1 4 4 A = 4 -1 1 -1 1 -1 -1 1 (a) Find the characteristic polynomial of A. (b) Find the algebraic multiplicity and the geometric multiplicity of each eigenvalue of A. (c) Find the Ferrer...

(4 1<br>4 1<br>4 1<br>4<br>4<br>A =<br>4<br>-1 1<br>-1 1<br>-1<br>-1 1<br>(a) Find the characteristic polynomial of A.<br>(b) Find the algebraic multiplicity and the geometric multiplicity of each eigenvalue of A.<br>(c) Find the Ferrer diagram corresponding to each eigenvalue of A.<br>(d) For each eigenvalue A; of A, find the maximum of nullity((A – A;I)

Extracted text: (4 1 4 1 4 1 4 4 A = 4 -1 1 -1 1 -1 -1 1 (a) Find the characteristic polynomial of A. (b) Find the algebraic multiplicity and the geometric multiplicity of each eigenvalue of A. (c) Find the Ferrer diagram corresponding to each eigenvalue of A. (d) For each eigenvalue A; of A, find the maximum of nullity((A – A;I)") over all r E N. Furthermore, determine the smallest r EN to attain the maximum.

Jun 04, 2022

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(4 1 4 1 4 1 4 4 A = 4 -1 1 -1 1 -1 -1 1 (a) Find the characteristic polynomial of A. (b) Find the algebraic multiplicity and the geometric multiplicity of each eigenvalue of A. (c) Find the Ferrer...

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