GATE Electrical Engineering (EE) 2019 Solved Paper

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Question : 14 of 65

Marks: +1, -0

{M}

is a

2 × 2

matrix with eigenvalues 4 and 9 . The eigenvalues of

{M}^{2}

are

2 and 3
$-2$ and $-3$
4 and 9
16 and 81

Solution:

Given that eigen values of

{M}_{2 × 2}

are 4,9 ,

\Rightarrow

eigen values of

{M}^{2}

are

(4)^{2},(9)^{2}

∴

eigen values of

{M}^{2}

are 16,81

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