The characteristic roots of the matrix pmatrix1&0&0\2&3&0\4&5&6 pmatrix are

Question

Accepted Answer

Correct answer: C. (c) : Let, A= (100230456 ) Its characteristic equation is |A- λI |=0 ( is characteristic root) ∴(1- 0023- 0456- )=0 A- λI= (100230456 )- (100010001 ) =(1- 0023- 0456- ) Now, |A- λI |=0 ⇒ (1- ) (3- ) (6- )=0 ⇒ =1 ,3 ,6.

$The characteristic roots of the matrix 124035006 are$

Solution

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