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Engineering Mathematics Miscellaneous

Engineering Mathematics

  1. The condition for which the eigenvalues of the
    matrix A =
    2
    1
    are positive, is
    1K
    1. k >
      1
      2
    2. k > - 2
    3. k > 0
    4. k < -
      1
      2
Correct Option: A

All eigen values of A =
2
1
are position 2 > 0
1k

∴ 2 × 2 leading minor will be greater then zero.
2
1
> 0
1k

2 k –1 > 0
2 K > 1
k >
1
.
2



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