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Engineering Maths · Q82

Linear Algebra

Engineering and GATE · Engineering Maths · question 82

Q82

Consider the following matrix. \[ A = [ array*20c 2&3 \\ x& y array ]\] If the eigen values of A are 4 and 8, then

Consider the following matrix.
{\text{A}} = \left[ {\begin{array}{*{20}{c}} 2&3 \\ {\text{x}}&{\text{y}} \end{array}} \right]
If the eigen values of A are 4 and 8, then
A.
x = 4, y = 10
B.
x = 5, y = 8
C.
x = -3, y = 9
D.
x = -4, y = 10
Answer

Answer: Option D

Solution

Answer: Option D
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