GATE Mechanical Engineering (ME) 2020 Shift 2 Solved Paper

Question : 35 of 65

Marks: +1, -0

Let I be a 100 -dimensional identity matrix and

E

be the set of its distinct (no value appears more than once in

E

) real eigenvalues. The number of elements in

E

is________.

Solution:

I=[\table 1 , 0 , 0 .... 0 ; 0 , 1 , 0 .... 0 ; ⋮ , , , ; 0 , 0 , 0 .....1]_{100 × 100}

Eigen values: 1

{E}=\{0\}

No. of different eigen values

=1

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