Question:-
Consider the following matrix

If the eigenvalues of A are 4 and 8, then
Option (A)
x = 4,y = 10
Option (B)
x = 5,y = 8
Option(C)
x = -3,y = 9
Option(D)
x = -4,y = 10
Correct Option:
(D)
Question Solution:


(2-l)(y-l) – 3x = 0 given eigen values: l = 4,8

if we use l = 4 then equation, -2 (y-4) – 3x = 0------(i)

if we use l = 8 then equation, -6 (y -8) – 3x = 0 -----(ii)

Solving equation (i) & (ii), we get, x = -4, y = 10
question-answer-faq-2233