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If is a real matrix and one of its eigenvalues is with eigenvector, then what can be said about another one of its eigenvalues and eigenvectors?

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MCQs on Linear Algebra.


If<br><img src='https://www.fatskills.com/images2/GradExams/410E39D5-BF81-4C79-9D35-17456837F093.png' height='15' width='14'/> is a real<br><img src='https://www.fatskills.com/images2/GradExams/C585F1F4-9D73-4FEE-A60C-BDC1CF95DE1B.png' height='11' width='47'/> matrix and one of its eigenvalues is<br><img src='https://www.fatskills.com/images2/GradExams/1EC5C3C8-816E-4200-8097-E595A072670A.png' height='17' width='93'/> with eigenvector<br><img src='https://www.fatskills.com/images2/GradExams/7AB305A2-D808-4C3B-85F8-C166E849B016.png' height='12' width='15'/>, then what can be said about another one of its eigenvalues and eigenvectors?





 
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